academics.ut.ac.ir€¦ · Web viewPhysics is one of the fundamental disciplines in natural...

University of Tehran

General description, study program and syllabus

Degree: PhDSubject: PhysicsSub-disciplines:

- Atomic& Molecular physics- Particle physics and field theory- Solid state physics- Gravitational Physics and Astronomy- Nuclear physics

College of SciencesApproved in the “Programming, Development and

EducationalSupervision Committee of University of Tehran” on July 18th, 2016.

This program has been reviewed and approved by the faculty members of the Department of Physics

1

(College of Sciences) in the three hundred and second meeting of the “Programming, Development and EducationalSupervision Committee of University of Tehran” on July 18th, 2016.

Directive of the “Programming, Development and Educational Supervision Committee of University of Tehran” regarding the syllabus for:

Subject: Physics (with 5 sub-disciplines)Degree: PhD

The syllabus for the PhD degree in physics (with 5 sub-disciplines) has been reviewed by the faculty members of the Department of Physics and has been approved with majority rule.

The directive should be enforced from the date of its approval.

The reviewed syllabus on July 18th, 2016 will be replacing the previously approved syllabus on August 30th, 2005.

No alterations in the syllabus is allowed without the formal approval of the “Programming, Development and EducationalSupervision Committee of University of Tehran”.

Seyed Hossein HosseiniVice-President of

Educational Affairs

Farzaneh ShemiraniDirector of Educational

Programming Committee2

The voting and the directive issued on the July 18th, 2016 by the “Programming, Development and EducationalSupervision Committee of University of Tehran” regarding the syllabus for the PhD degree in physics (with 5 sub-disciplines) is sound and should be enforced.

Mohammad Nili Ahmad AbadiDirector of University of Tehran

General description of the presented syllabus for the Master of Sciences degree in physics (with 5 sub-disciplines)Clause 1- Description of the SubjectPhysics is one of the fundamental disciplines in natural sciences and encompasses various sub-disciplines. University of Tehran, being the first university in Iran to have offered this subject academically, considering the recent developments in this field and the increasing spirit of interdisciplinary research in natural sciences in the past few decades, has offered this area of study under five sub-disciplines.Clause 2- Aims of the SubjectThis degree and the introduced courses have been offered as means to educate students to a higher level than Master of Sciences (M.Sc.) in five topics of atomic & molecular physics, particle physics and field theory, solid state physics, astronomy and nuclear physics with the goal of participating in active research and teaching of these subjects in

universities and higher education institutes.3

Clause 3- The Importance of the SubjectPhysics is one of the fundamental scientific endeavors of mankind with the aim of understanding the intricate details of the workings of the world around us from one hand, and providing the basis upon which all other technical and engineering sciences lay, from the other, and thus, it is of the utmost importance.Clause 4- Role and Capabilities of the Graduate Students of this FieldPhD graduates of this subject can participate in science and technology oriented companies, and in the Research and Development departments (R&D) of various industries. The graduates of this degree are also capable of teaching this subject in higher education institutes and universities.Clause 5- Duration of the Courses and their StructureThe duration of the PhD degree, minimum and maximum number of credits that can be acquired in each semester by the students and other related legislation can be found in the educational statute for the PhD degree of the University of Tehran.Clause 6- Course CreditsThe number of the course credits that are required for the completion of the PhD degree in physics is as follows:

a) 6 credits from “Specialty Courses” according to table 1, 3, 5, 7 and 9;

b) 6 credits from “Optional Courses” (different for the 5 sub-disciplines) according to tables 2, 4, 6, 8 and 10;

c) 24 credits due to research and the composition of the PhD thesis;

d) The total number of credits for the PhD degree is 36 credits;

4

e) 3 credits for seminar.Note 1: In the case that the addition of a new course is required, the course in question, which is proposed by the expert faculty of the department, will be added to the aforementioned tables in articles (a) to (d) with the approval of the “Post-graduate Studies Committee” and “Programming, Development and Educational Supervision Committee of University of Tehran”.Note 2: Optional courses should be chosen on the advice of the thesis advisor according to article (b), and at most only one optional course can be chosen from a different sub-discipline than the actual sub-discipline of the student.Note 3: The student can, with the approval of his/her thesis advisor and the “Post-graduate Studies Committee”, pass any optional course (maximum 6 credit points) from the ten tables, if he/she has passed the required minimum number of credits from the relevant compulsory courses.Note 4: If a student has not passed a prerequisite course for a PhD course, and that prerequisite is amongst the M.Sc. courses, he/she is obligated to pass the prerequisite course with a minimum GPA of 14.Note 5: If a student has passed any of the PhD courses (as presented in the ten tables below) in his/her M.Sc. studies, the student can, with the approval of the “Post-graduate Studies Committee”, skip that particular course. However, he/she must pass other courses to match the required number of optional and specialty courses, as given in articles (a) and (b).Clause 7- Eligibility of the Students

5

a) The eligibility and enrolment of students should be in accord to the laws and regulations of the Iran Ministry of Science, Research and Technology.b) The student must pass the interview conducted by the

6

Chapter II:Tables of Presented Courses

Table 1: Specialty Courses 7

Degree: PhD Sub-Discipline: Atomic and Molecular Physics

Course Title Number of Credits

Number of Hours Prerequisite/Co-requisite

Theory

Experiment

Total

Theory

Experiment

Total

1 Light and Matter

Interactions

3 - 3 48 - 48 N/A

2 Fourier Optics

3 - 3 48 - 48 N/A

3 Advanced Plasma

Physics I

3 - 3 48 - 48 N/A

4 Electrodynamics II

3 - 3 48 - 48 N/A

5 Advanced Plasma

Physics II

3 - 3 48 - 48 (Pre)Advanced

Plasma Physics I

6 Quantum Optics

3 - 3 48 - 48 N/A

7 Nonlinear Optics

3 - 3 48 - 48 N/A

8 Laser Spectroscop

y

3 - 3 48 - 48 N/A

9 Quantum Electronics

3 - 3 48 - 48 N/A

Total 27 0 27 432 - 432

Note 1: Student is required to pass a sum total of 6 credits from the courses presented in the above table, with the approval of his/her thesis advisor.Note 2: Acquiring a third course from the above table is possible with the permission of the thesis advisor, and the acquired course will be considered as an optional course.

8

Table 2: Optional Courses Degree: PhD Sub-Discipline: Atomic and Molecular Physics



Theory

Experiment

Total

Theory

Experiment

Total

1 Advanced Statistical

Mechanics II

3 - 3 48 - 48 N/A

2 Special Topics in

Atomic and Molecular Physics

3 - 3 48 - 48 (Pre)Light and

Matter Interactions

3 Fundamentals of Optical

Fibers

3 - 3 48 - 48 N/A

4 Advanced Optics

Laboratory

- 3 3 - 96 96 N/A

5 Accelerator Physics I

3 - 3 48 - 48 N/A

6 Physics of Charged

Plasma and Charged Particle

Dynamics


Plasma Physics

7 Diffractive 3 - 3 48 - 48 N/A

9

Optics8 Nanophotoni

cs3 - 3 48 - 48 N/A

9 Quantum Information

3 - 3 48 - 48 N/A

10

Image Processing

3 - - 48 - 48 N/A

11

Condensed Matter

Physics I

3 - 3 48 - 48 N/A

12

Nanostructures:

Properties and

Applications

3 - 3 48 - 48 N/A

Total 33 3 36 528 96 624

Note: Student is required to pass a sum total of 6 credits from the courses presented in the above table, with the approval of his/her thesis advisor.

Table 3: Specialty Courses Degree: PhD Sub-Discipline: Particle Physics



Theory

Experiment

Total

Theory

Experiment

Total

1 Quantum Field Theory

II

3 - 3 48 - 48 N/A

2 Advanced Particle

Physics II

3 - 3 48 - 48 N/A

Total 6 - 6 96 - 96

10


Table 4: Optional Courses Degree: PhD Sub-Discipline: Particle Physics



Theory

Experiment

Total

Theory

Experiment

Total


III

3 - 3 48 - 48 (Pre)Quantum

Field Theory

11

II2 Advanced

Mathematical Physics

3 - 3 48 - 48 N/A

3 Special Topics in

Mathematical Physics I

3 - 3 48 - 48 N/A

4 Special Topics in

Mathematical Physics II

3 - 3 48 - 48 (Pre)Special

Topics in Mathematical Physics I

5 Special Topics in Particle Physics I

3 - 3 48 - 48 N/A

6 Special Topics in Particle

Physics II

3 - 3 48 - 48 (Pre)Special

Topics in Particle Physics I

7 Electrodynamics II

3 - 3 48 - 48 N/A


Mechanics II

3 - 3 48 - 48 N/A

9 Advanced Gravitationa

l Physics

3 - 3 48 - 48 N/A

10

Many Body Physics I

3 - - 48 - 48 N/A

11

Quantum Chromodyna

mics I

3 - 3 48 - 48 N/A

12

Many Body Physics II

3 - 3 48 - 48 (Pre)Many Body Physics I

13

Quantum Chromodyna

mics II

3 - 3 48 - 48 (Pre)Quantum

Chromodynamics I

12

14

Detector Physics

3 - 3 48 - 48 N/A

15

Accelerator Physics I

3 - 3 48 - 48 N/A

16

Accelerator Physics II

3 - 3 48 - 48 (Pre)Accelerator

Physics ITotal 51 - 51 816 - 81

6


13

Table 5: Specialty Courses Degree: PhD Sub-Discipline: Solid State Physics



Theory

Experiment

Total

Theory

Experiment

Total

1 Condensed Matter

Physics I

3 - 3 48 - 48 N/A


Mechanics II

3 - 3 48 - 48 N/A

3 Condensed Matter

Physics II

3 - 3 48 - 48 (Pre)Condensed

Matter Physics I

Total 9 - 9 144 - 144


14

Table 6: Optional Courses Degree: PhD Sub-Discipline: Solid State Physics



Theory

Experiment

Total

Theory

Experiment

Total

1 Advanced Surface Physics I

3 - 3 48 - 48 N/A

2 Advanced Surface

Physics II

3 - 3 48 - 48 (Pre)Advanced Surface Physics I

3 Nanostructures:

Properties and

Applications

3 - 3 48 - 48 N/A

4 Superconductivity and

Superfluidity

3 - 3 48 - 48 N/A

5 Quantum Electronics

3 - 3 48 - 48 N/A

6 Discrete Models and Continuous

Equations for Surface Growth

3 - 3 48 - 48 N/A

Many 3 - 3 48 - 48 N/A

15

7 Body Physics in

Condensed Matter Theory

8 Physics of Liquid

Crystals

3 - 3 48 - 48 N/A

9 Special Topics in

Magnetism

3 - 3 48 - 48 N/A

10

Special Topics in

Condensed Matter Physics

3 - 3 48 - 48 (Pre)Condensed

Matter Physics I

11

Advanced Surface Analysis Methods

3 - 3 48 - 48 N/A

12

Electrodynamics II

3 - 3 48 - 48 N/A

13

Stochastic Processes and Their Analysis

3 - 3 48 - 48 N/A

14

Density Functional Theory and

Its Applications

3 - 3 48 - 48 N/A

15

Advanced Measuremen

ts in Condensed

Matter Physics

3 - 3 48 - 48 N/A

16

Numerical Models and Simulations

in

3 - 3 48 - 48 N/A

16


17

Scales and Renormalizat

ion in Statistical Physics

3 - 3 48 - 48 N/A

18

Critical Phenomena

3 - 3 48 - 48 N/A

19

Soft Condensed

Matter Physics

3 - 3 48 - 48 N/A

20

Nanoelectronic Devices

3 - 3 48 - 48 N/A

21

Disordered Quantum Systems

3 - 3 48 - 48 N/A

22

Quantum transport

3 - 3 48 - 48 N/A

23

Physics of Many Body Systems I

3 - 3 48 - 48 N/A

24

Light and Matter

Interactions

3 - 3 48 - 48 N/A

25

Quantum Optics

3 - 3 48 - 48 N/A

26

Quantum Information

3 - 3 48 - 48 N/A

Total 78 - 78 1248

- 1248

Note: Student is required to pass a sum total of 6 credits from the courses presen1ted in the above table, with the approval of his/her thesis advisor.

17

Table 7: Specialty Courses Degree: PhD Sub-Discipline: Astronomy and Gravitational Physics



Theory

Experiment

Total

Theory

Experiment

Total


I

3 - 3 48 - 48 N/A

2 Advanced Gravitationa

l Physics

3 - 3 48 - 48 N/A

Total 6 - 6 96 - 96


18

Table 8: Optional Courses Degree: PhD Sub-Discipline: Astronomy and Gravitational Physics



Theory

Experiment

Total

Theory

Experiment

Total

1 Advanced Cosmology

3 - 3 48 - 48 (Co)Advanced

Gravitational Physics

2 Black Hole Physics

3 - 3 48 - 48 (Co)Advanced


3 Special Topics in Gravity I



4 Special Topics in Gravity II



5 Special Topics in

Cosmology

3 - 3 48 - 48 N/A

6 Quantum Gravity

3 - 3 48 - 48 (Co)Advanced



in Curved

3 - 3 48 - 48 (Pre)Quantum

Field Theory I &

19

Space-Time Advanced Gravitationa

l Physics8 Relativistic

Astronomy3 - 3 48 - 48 (Pre)

Advanced Gravitationa

l Physics9 Special

Topics in Astronomy

3 - 3 48 - 48 (Pre)Relativistic Astronomy

10

Advanced Mathematica

l Physics

3 - 3 48 - 48 N/A

11

Special Topics in

Mathematical Physics I

3 - 3 48 - 48 N/A

12

Quantum Field Theory

II

3 - 3 48 - 48 (Pre)Quantum

Field Theory I

13

Electrodynamics II

3 - 3 48 - 48 N/A

14

Advanced Statistical Physics II

3 - 3 48 - 48 N/A

15

Advanced Particle Physics I

3 - 3 48 - 48 N/A

16

Advanced Particle

Physics II

3 - 3 48 - 48 (Pre)Advanced Particle Physics I

17


III

3 - 3 48 - 48 (Pre)Quantum

Field Theory II

18

Special Topics in Particle Physics I

3 - 3 48 - 48 (Pre)Advanced Particle Physics I

Soft 3 - 3 48 - 48 N/A

20

19


20

Quantum Chromodyna

mics I

3 - 3 48 - 48 (Co)Quantum

Field Theory I

Total 60 - 60 960 - 960

Note: Student is required to pass a sum total of 6 credits from the courses presen1ted in the above table, with the approval of his/her thesis advisor.

Table 9: Specialty Courses Degree: PhD Sub-Discipline: Nuclear Physics



Theory

Experiment

Total

Theory

Experiment

Total

1 Structure of Nucleus

3 - 3 48 - 48 N/A

2 Many Body Physics I

3 - 3 48 - 48 N/A


I

3 - 3 48 - 48 N/A

4 Quantum Chromodyna

mics I

3 - 3 48 - 48 (Pre)Quantum

Field Theory I

Total 9 - 9 144 - 14

21

4


Table 10: Optional Courses Degree: PhD Sub-Discipline: Nuclear Physics



Theory

Experiment

Total

Theory

Experiment

Total

1 Many Body Physics II

3 - 3 48 - 48 (Pre)Many Body Physics I

2 Quantum 3 - 3 48 - 48 (Pre)Quantum

22

Chromodynamics II

Chromodynamics I

3 Advanced Particle Physics I

3 - 3 48 - 48 N/A

4 High Energy Nuclear Physics

3 - 3 48 - 48 N/A

5 Detector Physics

3 - 3 48 - 48 N/A

6 Accelerator Physics I

3 - 3 48 - 48 N/A

7 Accelerator Physics II

3 - 3 48 - 48 (Pre)Accelerator

Physics I8 Special

Topics in Nuclear Physics I

3 - 3 48 - 48 N/A

9 Special Topics in Nuclear

Physics II

3 - 3 48 - 48 (Pre)Special

Topics in Nuclear Physics I

10


II

3 - 3 48 - 48 (Pre)Quantum

Field Theory I

11

Electrodynamics II

3 - 3 48 - 48 N/A

12

Advanced Statistical

Mechanics II

3 - 3 48 - 48 N/A

13

Advanced Mathematical Physics

3 - 3 48 - 48 N/A

14

Light and Matter

Interactions

3 - 3 48 - 48 N/A

15


III

3 - 3 48 - 48 (Pre)Quantum

Field Theory

23

II16

Density Functional Theory and

Its Applications

3 - 3 48 - 48 N/A

17

Advanced Plasma

Physics I

3 - 3 48 - 48 N/A

18

Gravitational Physics I

3 - 3 48 - 48 N/A

Total 54 - 54 864 - 864


24

Contents of the Specialty and Optional Courses

for Atomic & Molecular Physics Sub-Discipline

25

Course title:Interaction of Light and MatterCredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseIntroduction to the fundamentals of the classical and quantum models of interaction of the electromagnetic waves with matter and associated phenomena.Contents of the CourseAbsorption and scattering of light from small particles: Scattering matrix; Amplitude scattering matrix; Absorption and scattering of light from a spherical particle; Internal field and the scattered field; Scattering matrix elements; Asymmetry parameters and radiation pressure; Calculation of absorption cross section and scattering. Optical properties of the bulk: Lorentz model; Material response to incident field; Penetration depth of the electromagnetic wave; Drude model. Absorption and radiation of light: Planck’s law; Einstein coefficients;Bloch-Maxwell equations; Interaction of light with cold atoms; Nonlinear effects in light and matter interactions; Laser induced plasma; Applications of spectroscopy; Basic phototmetric quantities; Continuous and discrete spectra; Interactions with strong fields; Density matrix. Interaction of light and semiconductors: Energy bands of the

26

semiconductor; p-n junctions; The effects of light on the electrical properties of semiconductors.Evaluation methodClass Exams and

AttendanceMid-term

ExamsFinal Exams Class

Projects20% 30% Written Exam: 40% 10%

Experimental Exam: 0%

Course References1- Absorption and Light Scattering by Small Particles, C.F. Bohren and D.R. Huffinan, Wiley (1983).2- Laser Spectroscopy, W. Demtroder, Springer (1996).3- Quantum Theory of the Optical and Electronic Properties of Semiconductors, H. Haug and S.W. Koch,World Scientific (1993).

Course title:Fourier OpticsCredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseIntroduction to the description on the wave optics based on Fourier analysis and related techniques.Contents of the CourseConcept of temporal and spatial coherence; Interference and diffraction of light; Basics of image formation with coherent and incoherent light; Fourier transforms; Fraunhofer diffraction and its relation to Fourier transformation;

Convolution and autocorrelation theorem. X-ray diffraction as 27

the Fourier transformation of the structure of the crystal: Bragg condition and Laue conditions; Measurement of temporal coherency (Michelson spectral interferometry) and spatial coherency (Michelson stellar interferometry). Image formation in optical systems: Rayleigh theory and Abbe theory for the image formation; Linear and invariant systems; Optical transform function (OTF); Self-image phenomena (Talbot and Laue). Applications of the Fourier optics: Measurement of resolution power and the quality of the optical systems; Spatial refinement of image; Holography; Optical character recognition; Aperture synthesis technique; Digital image processing.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Fourier Optics an introduction, 2nded.; Steward, 2004.2- The New Physical Optics Notebook: Tutorials in Fourier Optics (SPIE Press Book); Editor(s): Reynolds, DeVelis, Parrent, Thompson; 1989.3- Introduction to Fourier Optics; 2nded.; Goodman; 1996.4- Diffraction, fourier optics, and imaging; Ersoy ; 2007.

Course title:Advanced Plasma Physics IICredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () –

Seminar ()

28

General Goals of the CourseStudy of plasma physics and models on an advanced level.Contents of the CourseBasic notions of plasma; Debye length; Plasma parameters and temperature; Plasma creation; Orbital theory and single particle motion in homogeneous and inhomogeneous fields; Adiabatically invariant quantities; Fluid model of plasma, magnetohydrodynamic (MHD) equations and macroscopic properties of a plasma; Two fluid model; Single fluid model; Dual adiabatic theory; Waves in a fluid plasma; Electrostatic waves; Electromagnetic waves; Propagation perpendicular to and in parallel to the guiding magnetic field; Kinetic equations of plasma; Instabilities of a fluid plasma; Characterization of the instabilities; Stability of the plasma with and without a magnetic field.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Principles of Plasma Physics, N.A. Krall & A.W. Trivelpiece, McGraw- Hill (1973).2- Introduction to plasma physics, R.J. Goldston and P.H. Rutherford, IOP Publ., (1995).3- Fundamental of Plasma Physics, J.A. Bittencourt, Pergamon Press (1986).4- Plasma Dynamics, T.J.M Boyld & Sanderson, Barnes & Noble (1969).5- Plasma Physics, E.W. Laing, Sussex University Press (1976).

Course title:Electrodynamics IICredits: 3

29

Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: Electrodynamics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete the topics introduced in Electrodynamics I course.Contents of the CourseElectromagnetic wave propagation in conductive and dielectric media; Emitting systems; Multipole emission; Dispersion relations and wave broadening in media; Relativistic electrodynamics; Relativistic particles in electromagnetic fields; Emission from charged particles; Electromagnetic wave diffraction; Quantization of electromagnetic waves.Evaluation methodClass Exams and

AttendanceMid-term




Course References

1- Classical Electrodynamics, J. D.Jackson, J. Wiley & Sons (1998).2- Classical Electromagnetic Radiation, 3rd ed., M.A. Heald, J.B. Marion, Saunders College Pub. (1995).3- Classical Electricity and Magnetism, P. Panofsky, Addison-Wesley (1976).4- Classical Electrodynamics, H. C. Ohanian, Infinity Science Press, LLc (2006).

30

Course title:Advanced Plasma Physics IICredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: Advanced Plasma Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the student with advanced concepts and current research subjects in plasma physics.Contents of the CourseTransport phenomena in plasma; Kinetic equations in plasma; Vlasov theory for plasma waves; Vlasov theory for the stability of a plasma; Nonlinear Vlasov theory for waves and plasma instability; Fluctuations; Correlation and the radiation by moving particles.Evaluation methodClass Exams and

AttendanceMid-term




Course References

1- Basic Principles of Plasma Physics, A. Statistical Approach, S.I. Chimaru, Addison - Wesley (1973).

31

2- Principles of Plasma Physics, N.A. Krall and A.W. Trive!piece, McGraw-Hill (1973).3- Fundamental of Plasma Physics, J.A. Bittencourt, Pergamon Press (1986).

Course title:Quantum OpticsCredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: Advanced Plasma Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the PhD student with the quantization of the electromagnetic wave and its modern applications.Contents of the CourseQuantization of electromagnetic radiation; Maxwell equation; Single mode fields; Creation and annihilation operators; Number state representation; Thermal modes; Field fluctuations; Quantization of many mode electromagnetic fields; Density of states; Planck’s formula; Density operator; Coherent states; Eigenstates of non-Hermitian operators; Completeness theorem; Properties of coherent states; Commutation relations; Phase space distribution; P distribution; Wigner distribution; Characteristic functions; Interaction of atoms and fields; Transition rate equations; Rabi oscillations;

Jaynes-Cummings model; Dressed states; Dispersive

32

interactions; Detectors and quantum principles of detectors; First order coherency, Bunching and anti-bunching effects; Cavity quantum electrodynamics (QED); Purcell effect; Micro-masers; Preparation of Schrodinger cat states; Solid state systems; Interferometers (e.g. Mach-Zehnder, etc.) and beam splitters; Input/Output systems; Homodyne and Heterodyne detectors; Squeezed states; Squeezing operators; Bogoliubov transformations; Quadrature squeezing; Number squeezing; 2D squeezing and entanglement. Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Introductory Quantum Optics, Gerry and Knight, Cambridge university press (2008).2- Quantum Optics, M. O. Scully and M. S. Zubairy, Cambridge university press (2002).3- Quantum Optics, D. F. Walls, G. J. Milburn, Springer, (2008).

Course title:Nonlinear OpticsCredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the PhD student with nonlinear phenomena in optics on an

advanced level.

33

Contents of the CourseElectric field and polarization; Wave propagation in nonlinear anisotropic media; Wave propagation in anisotropic media; Pockels effect and related phenomena; Second harmonic generation; Parametric effects; Raman and Brillouin effects; Optical Kerr effect; Four wave mixing; Propagation of optical pulses; Solitons; Nonlinear effects in glass fibers.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Nonlinear Optics, 3"' ed., R.W. Boyd, Academic Press (2008).2- Nonlinear Optics, D. L. Mills, Springer-Verlag (1998).3- Optical Electronics in Modem Communication, 5th ed., A. Yariv, Oxford University Press (1999).4- The Principles of Nonlinear Optics, Y. R. Shen, Wiley (2002).5- Introduction to Nonlinear Optics, G. New, Cambridge Univ. Press (2014).

Course title:Laser SpectroscopyCredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical credits

Prerequisite: N/A

34

Supplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseIntroduction to the theoretical and experimental techniques of spectroscopy with laser sources and related phenomena.Contents of the CourseLasers as sources for spectroscopy; Absorption and radiative spectroscopy with lasers; Magnetic resonance spectroscopy and Stark spectroscopy; Laser excited fluorescence; Excited states spectroscopy; Double resonance techniques; Multi-photon spectroscopy; Raman spectroscopy with laser; High resolution spectroscopy with laser; Applications of laser spectroscopy.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Laser Spectroscopy, W. Demtroder, Springer-Verlag (1982).

Course title:Quantum ElectronicsCredits: 3

Number of Hours: 48

35

Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of the behavior of electromagnetic radiation in crystalline media and the interaction of light and matter based on quantum mechanics.Contents of the CourseVibrations of crystal lattices and its quantization; Electromagnetic waves and their quantization; Wave propagation in anisotropic media; Light beam propagation in homogeneous and lens-like media; Optical resonators; Interaction of light and atomic systems; Laser oscillations; Types of lasers; Sapphire lasers; Nd-YAG lasers; He-Ne lasers; CO2 laser; Color lasers; Semiconductor lasers; Quantum well lasers; Free electron lasers; Optical radiation modulation.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Quantum Electronics, A. Yariv, Wiley (1998).

36

Course title:Advanced Statistical Mechanics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Advanced Statistical Mechanics I course.Contents of the CourseCluster expansion and Virial coefficients; Critical phenomena and fluctuations near equilibrium; Ising model; Classical fluid; Quantum fluid; Transport theory, hydrodynamics and Onsager relations; Fluctuation-Dissipation theorem; Nonequilibrium phase transitions; Critical phenomena and Landau theory.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Statistical Mechanics, 2nded., R.K. Pathria, Butterworth-Heinemann (1996).2- Statistical Mechanics, K. Huang, Wiley ( 1987).3- Statistical Mechanics, K. Reif, McGraw - Hill (1987).4- Statistical Mechanics, S.K. Ma, World Scientific (1985).5- Statistical Physics, Landau, Lifshitz, Pitaevskii, Elsevier (1980).

37

6- A Modern Course in Statistical Physics, E. Reichle (2nd edition), Wiley (1998).

Course title:Special Topics in Atomic and Molecular PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Interactions of Light and MatterSupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo educate the PhD student in a particular skill or topic that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

38

Course title:Fiber Optic PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo study the physics, and the techniques in designing, fabricating and the applications of optical fibers.Contents of the CourseOptical fiber wavelets; Beam transmission theory: Total internal reflection; Acceptance angle; Numerical aperture; Oblique beams; Electromagnetic theory of light propagation; Step-index profile of the optical fibers; Fibers with gradual refractive index; Transport characteristics for an optical fiber; Dissipation and propagation losses: absorption by the matter; Linear scattering; due to the bending of the fiber; Dispersion. Measurements related to optical fibers: Loss measurements; Dispersion measurements; Refractive index measurements; Measurements of the size effect and numerical aperture; field measurements. Introduction to the methods of fabrication for

39

the optical fibers and junctions; Supporting apparatus for fibers. Light sources: Lasers; LED diodes. Detectors and the applications of optical fibers.Evaluation methodClass Exams and

AttendanceMid-term




Course ReferencesI- Optical Fiber Communications, J.M. Senior, Prentice Hall (1985).2- Fiber Optics: Physics and Technology, F. Mitchke, Springer (2016).3- Fundamental of Photonics, B.E.A. Saleh and M.C. Teich, Wiley Pub. (2007).4- Introduction to Optical Fibers, A. H. Cherin, McGraw-Hill (1982).

Course title:Advanced Optics laboratoryCredits: 3Number of Hours: 96Type of the Course: Optional courseType of the Credits: 3 experimental creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the students with the experimental tools and methods related to their PhD thesis.

Contents of the Course

40

This course should be in form of a project that could be useful for the thesis studies of the PhD student. The subject, therefore, should be in the form of an experimental study or the design and construction of an optical apparatus.Evaluation methodClass Exams and

AttendanceMid-term


Projects20% 30% Written Exam:0% 0%


Course References

Course title:Accelerator Physics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () –

Seminar ()

41

General Goals of the CourseTo familiarize the PhD student with the structure and principles of accelerators and the beam dynamics.Contents of the CourseParticle motion in electromagnetic fields; Electromagnetic optics of particles; Electrostatic accelerators; Linear inductive accelerators; Betatrons; Phase dynamics; Radio frequency linear accelerators; Cyclotrons; Resonant non-linear betatrons and their effects on radiation; Landau damping for non-linear beams; Electron and proton polarization; Electron cooling; Advanced methods for measurement of particle trajectoriesEvaluation methodClass Exams and

AttendanceMid-term




Course References1- Principles & Charge Particle Acceleration, Humphries, Wiley (1999).2- Accelerator Physics, S. Y. Lee, World Scientific Pub. (2011).

Course title:Non-Neutral Plasma Physics and Charged Particle DynamicsCredits: 3Number of Hours: 48Type of the Course: Optional course

42

Type of the Credits: 3 theoretical creditsPrerequisite: Advanced Plasma Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the PhD student with special phenomena in non-neutral plasma and the dynamical behavior of the charged particles.Contents of the CourseClassical motion of charged particles in electromagnetic fields; Hamiltonian and Lagrangian formulations; Conservation laws; Trajectory equations; Relativistic Euler equation in axially symmetric fields; Beam optics and focusing systems without space charge; Luminosity and radiation of the beam; Paraxial beam equation; Axially symmetric fields as lenses; Electrostatic lenses; Magnetic lenses; Quadrupole lenses; Beams with circular cross section; Edge focusing; Periodic focusing systems; Linear beam optics with space charge; Self-consistent theory of beams; Kapchinsky-Vladimirsky distribution function.

Evaluation methodClass Exams and

AttendanceMid-term




Course ReferencesI- Theory and Design of Charged Particle Beams, M. Reiser, Wiley (1994).2- Principle & Charge Particle Acceleration, Humphries, Wiley (1999).3- Accelerator Physics, 5. Y. Lee, World Science Pub. (2011).

43

Course title:Diffractive OpticsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of phenomena and techniques related to diffraction and their applications.Contents of the CourseThe status of diffraction optics; Fresnel lenses; Diffraction gratings; Scalar theory of diffraction; Electromagnetic analysis of diffraction; Design of a diffraction lens; Design of a diffraction grating; Design and fabrication of a diffractive optical element and related measurements; Photolithography; Applications of diffraction optics in the design of lenses and other optical elements.


AttendanceMid-term




Course ReferencesI- Diffractive Optics: Design, Fabrication, and Test, D.C. Oshea, J. J. Suleski, A.O. Kathman, D. W.Prather, Society of Photo-Optical

Instrumentation Engineers SPJE (2003).

44

2- Field Guide to Diffractive Optics, Y. Soskind, SPIE (2011).3- Diffractive Optics and Nanophotonics, I Minin, Springer (2016).4- Optics ofDiffractive and Gradient-Index Elements and Systems, G.I. Greisukh, SPIE (1997)

Course title:Nanophotonics Credits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of the interaction of light and matter on the nano scale.Contents of the CoursePolarized light; Anisotropic media and Fourier optics; Fundamentals of near field microscopy; Quantum confined material; Surface plasmon resonances; Optical properties of metallic clusters and nanoparticles; Methods of fabrication and characterization: Optics in layered semiconducting media; 2D and 3D photonic crystals; Semiconductor optics: Electronic structure and energy bands; p-n junctions; Interactions of light with charge carriers; Classical and semiconducting light sources; Units and measurement of light intensity; Thermal sources and vacuum tubes; LEDs; Semiconducting optical amplifiers; Diode lasers; Classical and quantum measurement and detection of light; Thermal detectors; Thermocouples and thermopiles; Bolometers and thermistor; Pyroelectrics and pneumatics; Quantum detectors: Photoconductors; Photovoltaics; Photodiodes; Arrayed and avalanche

photodiodes; CCDs; Metamaterials: Definitions; Optical rotation

45

and chirality; Negative refractive index; Nanocomposites: Definitions, applications and their optical properties; Biophotonics: Optical tweezers; Fabrication and characterization of biological conjugates; Optical manipulation of biological cells; Biological detection with light.


AttendanceMid-term




Course References1- Principle of Nano-Optics, L. Novotny, B. Hecht, Cambridge Univ. Press, (2006).2- Fundamental of Photonics, B.E.A. Saleh and M.C. Teich, Wiley Pub., (2007).3- Optical Metamaterials, W. Cai, V. Shalaev, Springer, (20 I 0).4- Fundamental of light Microscopy and Electronic Imaging, D. B. Murphy, John Wiley 7 Sons, (2001).5- Optical Properties of Metallic Clusters, U. Kreibig and M. Vollmer, Springer, (1995).

46

Course title:Quantum InformationCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseFundamentals of quantum information including quantum computers, cryptography and information transmission.


47

Review of quantum mechanics; Review of computer science; Quantum calculations: Quantum circuits; Quantum algorithms; Single bit operations; Control operations; Quantum Fourier transformation and its applications: Physical realization of a quantum computer; Required conditions for a quantum calculation. Quantum computers based on harmonic oscillators, optical photons, Cavity quantum electrodynamics, Pion traps; Nuclear magnetic resonance, and other related systems; Noise and quantum operations; Correction and error; Theory of quantum information; Data compaction; Classical data transfer in noisy channels; Quantum data transfer in noisy channels; Quantum entanglement as a physical tool; Quantum cryptography.


AttendanceMid-term




Course References1- Quantum computation and quantum information, Michael A. Nielsen and Isaac L. Chuang,Cambridge University Press, London, (2000).

Course title:Image ProcessingCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/A

Supplementary Experimental Education Required:

48

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseFundamentals of image processing and related techniques.Contents of the CourseReview of the fundamentals of image formation: Spatial Fourier transformation; Abbe theory for image formation with coherent light; Rayleigh theory for image formation with coherent and incoherent light; Image recording: video cameras, CCD cameras; Resolution; Electronic and optical obstacles in image recording; Gray level and depth of image, Noise; Relation between the eye and the brain in vision; Concept of point and resolution; Tools for image recording; Nyquist sampling theorem and recording without loss; Algorithms for compression of images; Methods for increasing the quality of images and reducing noise; Numerical refinement of the image; Geometrical aberrations in the image; Image processing in spatial coordinates: Image visibility; Amplitude modulation index; Border recognition; Recognizing texture; Image processing in frequency domain: Noise reduction; Convolution; Application of spatial filters in Fourier space; Thresholding and image meshing; Pattern recognition.


AttendanceMid-term




Course References1- The Image Processing Handbook, 6th ed., Russ, CRC Press (2011).2- Digital Image Processing, 3rded., Gonzalez & Woods, Prentice-Hall (2007).3- Digital Image Processing Using Matlab, 2nded., Gonzalez GP (2009).

49

Course title:Condensed Matter Physics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of scattering, electric transport and magnetic phenomena in solidsContents of the CourseMany body systems of electrons and protons; System of hydrogen molecules; Metallic state of solid hydrogen; Ordinary metals; Electron Fermi liquid; Electric and thermal transport in metals; Scattering processes in metals; Metals in the presence of magnetic fields; Magnetic susceptibility and de Haas-van Alphen effect; Quantum effects in electric transport; Sound in metals; Calculation methods for the electronic spectrum of solids; Pseudo-potential method; Non-metals; Molecular crystals; Properties of solids; Spin polarization; Magnetic properties of dilute alloys.


AttendanceMid-term




Course References1- Quantum Theory of Many-Particle Systems, A. L. Fetter, J.D. Walecka, McGraw- Hill (1971).2- Electronic Structure, Basic theory and Practical Methods, R. M. Martin, Cambridge Univ. Press (2004)

50

3- Electron Correlations in Molecules and Solids, (third enlarged edition), Springer (I 995).4- Atomic and electronic Structure of Solids, E. Kaniras, Can1bridge University Press (2003).5- A Quantum Approach to Condensed Matter Physics, P. Taylor and 0. Heinonen, CambridgeUniversityPress, (2002).

Course title:NanostructuresCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of nanostructures, their fabrication and their governing physics.Contents of the CourseReview of solid state physics; Measurement of the properties of nanostructures; Properties of nanoparticles; Carbon nanostructures; Bulk nanostructured material; Ferromagnetic nanostructures; Vibrational and optical spectroscopy; Quantum wells, wires and dots; Polymers and organic material; Biological material; Nanomachines and nanoelements.


AttendanceMid-term




51

Course ReferencesI- Introduction to Nanotechnology, C. P. Poole and F.J. Owens, John Wiley (2003).2- Carbon Nanotubes: Basic Concepts and Physical Properties, S. Reich, C. Thomsen and J. Maultzsch,Wiley- VCH (2004).3- Nanophysics and Nanotechnology: An Introduction to Modern Concepts in Nanoscience, E.L. WileyVCH(2004).4- Nanotechnology, M. Kohler and W. Frizsche, Wiley- VCH (2004).5- Transmission Electron Microscopy: II. Diffraction D. B. Williams and C. B. Carter, Plenum Press(1996).


for Particle Physics Sub-Discipline

52

Course title:Quantum Field Theory IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Quantum Field Theory I.Contents of the CourseLagrangian formulation; Symmetries and gauge fields: Noether’s theorem; Complex scalar field and electromagnetic fields; Topology and vacuum; Yang-Mills field and the geometry of the gauge fields; Path integrals in

quantum mechanics and perturbation theory through the S

53

matrix formulation; Introduction to functional calculation; Quantization of the path integrals and Feynman rules; Scalar and spinor fields: Generating functional for a free scalar field and a scalar field with a Φ interaction and their n-point functions; Generating functional for connected diagrams; Path integrals for spinor fields and scattering cross section calculation; Path integral quantization of gauge fields: Quantum electrodynamics; Non-Abelian gauge fields with Faddeev-Popov method; Self-energy; Ward-Takahashi equality in QED; BRST transformation and Slavnov-Taylor equality; Spontaneous symmetry breaking and Salam-Weinberg model; Goldstone theorem; Spontaneous breaking of gauge symmetry.


AttendanceMid-term




Course References1- Quantum Field Theory, Lewis H. Ryder, Cambridge University Press (1996).2- The Quantum Theory of Fields (volumes I and II), Steven Weinberg, Cambridge Univ. Press (1995).3- Quantum Field Theory, Claude Itzykson and Jean - Bernard Zuber, McGraw – Hill(1988)

Course title:Advanced Elementary Particle Physics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/A


54

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Advanced Elementary Particle Physics I.Contents of the CourseAn introduction to standard model; Gauge theories (Noether’s theorem; Yang-Mills theory; QED and QCD; Renormalization and related groups); Symmetries of strong interactions (Chiral symmetry; Spontaneous breaking of symmetry; Spontaneous chiral symmetry breaking); Electroweak interactions (SU(1)*U(1)), Anomalies and U(1) problem; Tests of the standard model (Scale in QED, ϕ measurement, W and Z creation; Higgs boson; Kobayashi-Maskawa quark mixing matrix); Grand unified theory (SU(5), SO(10)); Introduction to supersymmetry and superstring theory.


AttendanceMid-term




Course References1- Elementary Particles and Symmetries, Lewis H. Ryder, Gordon and Breach Science Publishers (1975).2- Introduction to High Energy Physics, Donald H. Perkins, Cambridge University Press (2000).3- Collider Physics, V. Barger and R. Philips, Addison - Wesley (1987).

Course title:Quantum Field Theory III

55

Credits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Quantum Field Theory II.Contents of the CourseRenormalization: Divergences in ϕ theory; Dimensional regularization in ϕ theory and renormalization in the two loop approximation; Renormalization group; General proof of renormalizability of QED; Asymptotic freedom of Yang-Mills theory and renormalization of a pure Yang-Mills theory; Chiral anomaly; Renormalization of Yang-Mills theory after spontaneous symmetry breaking; Effective potential; Topological concepts in field theory: Sine-Gordon equation; Vortex lines; Solitons and t’Hooft-Polyakov monopoles; Instantons and other topics such as: Lattice gauge theories; Conformal field theory.


AttendanceMid-term




Course References1- Quantum Field Theory, Lewis H. Ryder, Cambridge University Press (1996).2- The Quantum Theory of Fields (volumes I and 11), Steven

Weinberg, Cambridge Univ. Press (1995).

56

3- Quantum Field Theory, Claude ltzykson and Jean Bernard Zuber, McGraw-Hill(l 988).

Course title:Advanced Mathematical PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize students with topology and higher mathematics suitable for PhD students of physics.Contents of the CourseIntroductory mathematical concepts, including mappings, vector spaces, topological spaces, etc.; Introductory topology; Differential geometry; Manifolds and differential forms; Fundamental groups; Homotopy groups of higher order; De Rham Cohomology; Fiber bundles; Complex manifolds; Physical applications: Yang-Mills theory, string theory, general relativity, etc. Evaluation methodClass Exams and

AttendanceMid-term




Course References

57

I- Geometry, Topology and Physics, Nakahara, IOP Publishing (1990).2- Topology and Geometry for Physicists, Nash and Sen, Academic Press (1983).3- Geometry of Physics, T. Frankel, Cambridge University Press (1999).4- Modem Differential Geometry for Physicists, C. J. Isharri World Scientific Pub. Co. (l 999).5- Gauge Fields, Knots and Gravity,J. Baez, J.P. Muniain, World Scientific Pub .Co. (1994).

Course title:Special Topics in Mathematical Physics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo educate the PhD student in a particular skill or topic that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation method

58

Class Exams and Attendance

Mid-term Exams

Final Exams Class Projects

20% 30% Written Exam: 50% 0%Experimental Exam:

0%

Course References

Course title:Special Topics in Mathematical Physics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Special Topics in Mathematical Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo educate the PhD student in a particular skill or topic that has not been covered by the presented courses by the faculty.

Contents of the Course59

Contents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

Course title:Special Topics in Elementary Particle Physics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()

General Goals of the Course

60

To educate the PhD student in a particular skill or topic that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

Course title:Special Topics in Elementary Particle Physics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Special Topics in Elementary Particle Physics I


61

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo educate the PhD student in a particular skill or topic that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

Course title:Electrodynamics IICredits: 3Number of Hours: 48Type of the Course: Optional course

Type of the Credits: 3 theoretical credits62

Prerequisite: Special Topics in Elementary Particle Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the concepts put forward in Electrodynamics I course.Contents of the CourseElectromagnetic wave propagation in conductors and insulators; Multipole radiation; Dispersion relations and wave broadening in media; Relativistic electrodynamics; Relativistic particles in electromagnetic fields; Radiation from charged particles; Radiative fields; Electromagnetic field diffraction; Quantization of the electromagnetic fields.Class Exams and

AttendanceMid-term




Course References

I-Classical Electrodynamics, J. D.Jackson, J. Wiley & Sons (1998).2-Classical Electromagnetic Radiation, 3rd ed., M. A. Heald, J. B. Marion, Saunders College Pub(1995).3-Classical Electricity and Magnetism, P. Panofsky, Addison-Wesley (1976).4-Classical Electrodynamics, H. C. Ohanian, Infinity Science Press (2006).

63

Course title:Advanced Statistical Mechanics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Special Topics in Elementary Particle Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the contents taught in Advanced Statistical Mechanics I.Contents of the CourseCluster expansion and virial coefficients; Critical phenomena and equilibrium fluctuations in the Ising model; Classical and quantum fluid; Theory of transmission and hydrodynamics and Onsager relations; Fluctuation-dissipation theorem; Non-equilibrium phase transformation; Critical phenomena and Landau’s method.Class Exams and

AttendanceMid-term




Course ReferencesI-Statistical Mechanics, 2nd ed., R. K. Pathria, Butterworth-Heinemann (1996).2-Statistical Mechanics, K. Huang, Wiley (1987).3-Statistical Mechanics, K. Reif, McGraw-Hill (1987).4-Statistical Mechanics, S. K. Ma, World Scientific (1985).5-Statistical Physics, Landau, Lifshitz, Pitaevskii, Elsevier (1980).

64

6-A Modern Course in Statistical Physics, 2nd ed., E. Reichle, Wiley (1998).

Course title:Advanced Gravitational PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Special Topics in Elementary Particle Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo study the geometrical structure of space-time and the general relativity.Contents of the CourseA review of special relativity; Riemannian geometry; Einstein field equations; Newtonian limit; Schwarzschild and Kerr solutions; Classical tests of general relativity; Linearized general relativity; Symmetries of space-time and Killing vectors; Tetrads; Causal relations; Stress-Energy tensor; Hamiltonian formulation.Class Exams and

AttendanceMid-term




Course ReferencesI-Statistical Mechanics, 2nd ed., R. K. Pathria, Butterworth-

Heinemann (1996).

65

2-Statistical Mechanics, K. Huang, Wiley (1987).3-Statistical Mechanics, K. Reif, McGraw-Hill (1987).4-Statistical Mechanics, S. K. Ma, World Scientific (1985).5-Statistical Physics, Landau, Lifshitz, Pitaevskii, Elsevier (1980).6-A Modern Course in Statistical Physics, 2nd ed., E. Reichle, Wiley (1998).

Course title:Many Body Systems ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Special Topics in Elementary Particle Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo introduce the students to the physics of the many body systems.Contents of the CourseSecond quantization; Green functions in absolute zero; Wick’s theorem; Feynman diagrams; Linear response theory; Green functions in finite temperatures; Matsubara functions; Kubo formalism for electrical conduction; Canonical transformations; Diagonalization of Hamiltonians; Exactly solvable models; Independent boson models; Tomonaga model.Class Exams and

AttendanceMid-term



66


Course References

I-Quantum Theory of Many Particle System, A. L. Fetter and J. D. Walecka, McGraw-Hill co. (1971).2-Many Particle Physics, G. D. Mahan, Springer (2000).3-Quantum Theory of Finite Systems, G. P. Blaizot & G. Ripka, MIT Press (1999).4-The Theory of Quantum Liquids Vol. I and II, D. Pines and P. Nosiercs Benjamin (1969).5-Quantum Many Particle Systems, J. W. Negel & H. Ortand, Addison- Wesley (1988).

Course title:Quantum Chromodynamics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsCorequisite: Quantum field theory ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of the quark-gluon structure of the matter.

67

Contents of the CourseQCD as a field theory; Renormalization in QCD; Deep inelastic perturbations in QCD; Perturbative QCD; OZI rule and forbidden transitions and decays; Drell-Yan process; Jets and SVZ summation rules; Hadrons as bound states of quarks; Light quarks; PCAC and chiral dynamics;Class Exams and

AttendanceMid-term




Course References

1- Theory of Quark and Gluon Interactions, F. J. Yndurain, 3rd ed., Springer (1999).2- Foundations of Quantum Chromodynamics, T. Muta, 2nd ed.,World Scientific Pub (1998).3- Quantum Chromodynamics W. Greiner, S. Schramm, E. Stein, Springer (2002).

Course title:Many Body Systems IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical credits

Prerequisite: Many Body Systems I

68

Supplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Many Body Systems I.Contents of the CourseElectron gas; Exchange and correlation energy; High density limit of a Dickens lattice; Formulation of dielectric functions; STLS method; Summation rules; Single, multiple and collective excitations; Plasma oscillations; Density functional theory; Hubbard model; Liquid Helium; Ground state properties and excitation spectra of He4, Liquid He3, Landau theory about liquid Fermi theory; Superfluidity of liquid He3, Bosonic and Fermionic wave functions; Stochastic methods; Monte Carlo method; Comparison of different techniques in many body physics.Class Exams and

AttendanceMid-term




Course References

1- Quantum Theory of Many Particle Systems, A.L. Fetter and J.D. Walecka, McGraw-Hill (1971).2- Many-Body Problems and Quantum Field Theory, Ph. A. Martin and F. Rothen, Springer (2002).3- Quantum Many Particle Systems, J. W. Negele and H. Orland, Perseus Books (1998).

Course title:Quantum Chromodynamics II

69

Credits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Quantum Chromodynamics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of perturbative and non-perturbative methods in the analysis of quark-gluon structure of matter.Contents of the CourseNon-perturbative QCD; Non-perturbative phenomenological methods in QCD; Chiral perturbation; Effective Lagrangian for QCD; Symmetries of the standard model; Pion and nucleon systems and Chpt; Interactions of nucleons and Chpt.Class Exams and

AttendanceMid-term




Course References

1- Nonperturbative Methods in Quantum Field Theory, A.W. Schreiser, A.G. William and A.W. Thomas,World Scientific, Singapore (1998).2- Quantum Chromodynamics, W. Greiner, S. Schramm, E. Stein, Springer (2002).3- Effective Lagrangians for the Standard Model, Texts and Monographs in Physics, Springer (1999).4- Chiral Dynamics in Nucleons and Nuclei, Int. J. Mod. E, V. Bernard, N. Kainer, Uef-G.Meisner(1995).

70

5- The Structure of the Nucleon, A.W. Thomas, W. Weise, Wiley- VCH (2000).6- Introduction to Chiral Perturbation Theory, S. Scherer, JFK, Germany (2002).

Course title:Detectors PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Advanced Nuclear PhysicsSupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of the methods of measurement in nuclear and particle physics, and particle detectors.Contents of the CourseMotivations behind particle detectors; Mutual interactions of charged particles and matter; Coherent effects in charged particles; Mutual interactions of electrons and charged particles; Magnetic calorimeters; Wavelength dispersive spectroscopy; Energy dispersive spectroscopy; Scintillation detectors; Semiconductor detectors.Class Exams and

AttendanceMid-term




Course References

71

1- Detectors for Particle Radiation, K. I .Kleinknecht, Cambridge Press (200 I).2- The Particle Detector Brief Book, R. K. Bock and A. Vasilescu, Springer (1998).3- Techniques for Nuclear and Particle Physics Experiment, W.R. Leo, Springer (1994).

Course title:Accelerator Physics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the PhD student with the structure and principles of accelerators and the beam dynamics.Contents of the CourseParticle motion in electromagnetic fields; Electromagnetic optics of particles; Electrostatic accelerators; Linear inductive accelerators; Betatrons; Phase dynamics; Radio frequency linear accelerators; Cyclotrons; Resonant non-linear betatrons and their effects on radiation; Landau damping for non-

72

linear beams; Electron and proton polarization; Electron cooling; Advanced methods for measurement of particle trajectoriesEvaluation methodClass Exams and

AttendanceMid-term





Course title:Accelerator Physics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Accelerator Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the Course

73

To expand and build upon the subjects introduced in Accelerator Physics I.Contents of the CourseSynchrotron motion; Longitudinal motion equation; Adiabatic synchrotron motion; RF phase; Physics of storage rings; Exhausts in electron storage rings; Free electron laser; Beam-beam minteraction.Evaluation methodClass Exams and

AttendanceMid-term




Course ReferencesI- Principle of Charge Particle Acceleration, Humphries, Wiley (1999).2- Accelerator Physics, S.Y. Lee, World Scientific (2011).

74


for Solid State Physics Sub-Discipline

Course title:Condensed Matter Physics ICredits: 3Number of Hours: 48

Type of the Course: Specialty course

75

Type of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of scattering, electric transport and magnetic phenomena in solidsContents of the CourseMany body systems of electrons and protons; System of hydrogen molecules; Metallic state of solid hydrogen; Ordinary metals; Electron Fermi liquid; Electric and thermal transport in metals; Scattering processes in metals; Metals in the presence of magnetic fields; Magnetic susceptibility and de Haas-van Alphen effect; Quantum effects in electric transport; Sound in metals; Calculation methods for the electronic spectrum of solids; Pseudo-potential method; Non-metals; Molecular crystals; Properties of solids; Spin polarization; Magnetic properties of dilute alloys.


AttendanceMid-term




Course References1- Quantum Theory of Many-Particle Systems, A. L. Fetter, J.D. Walecka, McGraw- Hill (1971).2- Electronic Structure, Basic theory and Practical Methods, R. M. Martin, Cambridge Univ. Press (2004)3- Electron Correlations in Molecules and Solids, (third enlarged edition), Springer (I 995).4- Atomic and electronic Structure of Solids, E. Kaniras, Can1bridge University Press (2003).

76

5- A Quantum Approach to Condensed Matter Physics, P. Taylor and 0. Heinonen, CambridgeUniversityPress, (2002).

Course title:Advanced Statistical Mechanics IICredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Advanced Statistical Mechanics I course.Contents of the CourseCluster expansion and Virial coefficients; Critical phenomena and fluctuations near equilibrium; Ising model; Classical fluid; Quantum fluid; Transport theory, hydrodynamics and Onsager relations; Fluctuation-Dissipation theorem; Nonequilibrium phase transitions; Critical phenomena and Landau theory.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Statistical Mechanics, 2nded., R.K. Pathria, Butterworth-Heinemann (1996).

2- Statistical Mechanics, K. Huang, Wiley ( 1987).

77

3- Statistical Mechanics, K. Reif, McGraw - Hill (1987).4- Statistical Mechanics, S.K. Ma, World Scientific (1985).5- Statistical Physics, Landau, Lifshitz, Pitaevskii, Elsevier (1980).6- A Modern Course in Statistical Physics, E. Reichle (2nd edition), Wiley (1998).

Course title:Condensed Matter Physics IICredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: Condensed Matter Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Condensed Matter Physics I.Contents of the CourseBroken symmetry; Superfluidity; Adiabatic continuity and renormalization; Quantum solids; Non-harmonic crystals; Renormalization group; Exact results in Kondo problem; Metallic transitions in 2D systems; Localization; Quantum Hall effect; Laughlin theory for incompressible quantum liquids; Superconductivity; BCS theory; High temperature superconductivity.Evaluation methodClass Exams and

AttendanceMid-term


Projects20% 30% Written Exam:50% 0%

Experimental Exam:

78

0%

Course ReferencesI- Basic Notions of Condensed Natter Physics, P.W. Anderson, the Benjamin/Cummings PublishingCompany (1984).2- Strong Coulomb Corrections in Electronic Structure Calculations, V.I. Anisimor, Gordon and BreachScience Publishers (2000).3- Quantum Theory of Solids, 2•' ed., C. Kittel, Wiley (1987).4- Solid State Physics, G. Grosso, Academic Press (2000).5- A Quantum Approach to Condensed Matter Physics, P. Taylor and 0. Heinonen, CambridgeUniversity Press, (2002).

Course title:Advanced Surface Physics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of thin film and surface physics.Contents of the CourseScattering from surface; Surface phonons; Electronic states on the surface; Surface states in 3D crystals and their characteristics; Theory of photoemission; Surface states in semi-conductors; Photoemissions and inverse photoemissions.

79


AttendanceMid-term




Course References1- Surface and Interface of Solid, Materials H. Luth, Springer (1996).2-Surface Science "The First Thirty Years", Edited by: Charles B. Duke, North - Holland (1994).

Course title:Advanced Surface Physics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Advanced Surface Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the Course

Study of thin film and surface physics.

80

Contents of the CourseSpace charge layers in semiconductor interfaces; Metal and semi-conductor interfaces; Multiple semiconductor layers and their structures; Models for interface states and their relations to the structure and chemical properties; Adsorption in solid surfaces; Physical and chemical adsorption; Crystal structure; Phase transitions; Electronic structure; Kinetics and dynamics of the surfaces.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Surface and Interface of Solid, Materials H. Luth, Springer (1996).2- Physics at Surfaces A. Zangwill, Cambridge University Press (1988).3- Surface Science "The First Thirty Years", Edited by: Charles B. Duke, North-Holland (1994).

Course title:NanostructuresCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical credits

81

Prerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of nanostructures, their fabrication and their governing physics.Contents of the CourseReview of solid state physics; Measurement of the properties of nanostructures; Properties of nanoparticles; Carbon nanostructures; Bulk nanostructured material; Ferromagnetic nanostructures; Vibrational and optical spectroscopy; Quantum wells, wires and dots; Polymers and organic material; Biological material; Nanomachines and nanoelements.


AttendanceMid-term




Course ReferencesI- Introduction to Nanotechnology, C. P. Poole and F.J. Owens, John Wiley (2003).2- Carbon Nanotubes: Basic Concepts and Physical Properties, S. Reich, C. Thomsen and J. Maultzsch,Wiley- VCH (2004).3- Nanophysics and Nanotechnology: An Introduction to Modern Concepts in Nanoscience, E.L. WileyVCH(2004).4- Nanotechnology, M. Kohler and W. Frizsche, Wiley- VCH (2004).5- Transmission Electron Microscopy: II. Diffraction D. B. Williams and C. B. Carter, Plenum Press(1996).

82

Course title:Superconductivity and SuperfluidityCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of superconductivity and superfluidity.Contents of the CourseBCS theory: Ground state; Thermodynamic and electrodynamical properties of superconductors. Self-consistent field method; Bogoliubov equations; Ginzburg-Landau phenomenological theory; Microscopic analysis of Ginzburg-Landau theory; High temperature superconductivity: experimental and theoretical properties (phenomenological and microscopic); Superfluidity of Helium; Josephson junctions; DC and AC SQUIDs.


AttendanceMid-term




Course References1- Introduction to Superconductivity (Second edition), M. Tinkham, Mc Graw - Hill, Inc (1996).2- The theory of Superconductivity in the High- T Cuprates, P. W. Anderson, Princeton University Press(1997).

83

3- Superfluidity and Superconductivity, 3'• ed., D.R. Tilley, J. Tilley, Adam - Hilger (1990).4- Processing and Properties ofHigh-T, Superconductors, S. Jin, World Scientific (1993).

Course title:Quantum ElectronicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of the behavior of electromagnetic radiation in crystalline media and the interaction of light and matter based on quantum mechanics.Contents of the CourseVibrations of crystal lattices and its quantization; Electromagnetic waves and their quantization; Wave propagation in anisotropic media; Light beam propagation in homogeneous and lens-like media; Optical resonators; Interaction of light and atomic systems; Laser oscillations; Types of lasers; Sapphire lasers; Nd-YAG lasers; He-Ne lasers; CO2 laser; Color lasers; Semiconductor lasers; Quantum well lasers; Free electron lasers; Optical radiation modulation.Evaluation methodClass Exams and

AttendanceMid-term




84

Course References1- Quantum Electronics, A. Yariv, Wiley (1998).

Course title:Discrete Models and Continuous Equations of Surface GrowthCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy and the analysis of surface growth.Contents of the CourseInterfaces; Scales; Single self-affinity; Multiple self-affinity; Discrete models of growth; Ballistic deposition; Random deposition model; Random deposition model with surface relaxation; Solid on solid (SOS) model; Constrained SOS model; Continuous equations of surface growth; Edwards-Wilkinson equation; Karder-Parisi-Zhang equation; Molecular beam epitaxy; Kinetic Monte Carlo method.Evaluation method

Class Mid-term Final Exams Class

85

Exams and Attendance

Exams Projects


0%

Course References1- Fractal Concepts in Surface Growth, Albert-Laszlo Barabasi and Harry Eugene Stanley, CambridgeUniversity Press (1995).2- Dynamics of Fractal Surfaces, Fereydoon Family and Tamas Vicsek, World Scientific (1991).3- The Science of Fractal Images, 1sted., Heinz-Otto Peitgen and Dietmar Saup, Springer (1988).4- Fractals (Physics of Solids and Liquids), J. Feder, Springer (1988).

Course title:Many Body SystemsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of many body systems in condensed matter physics


86

Second quantization; Fermionic and bosonic systems; Green functions in absolute zero and in finite temperatures; Linear response theory and collective modes; Hartree-Fock approximation; Perturbation theory; Feynman diagrams; Electron-phonon relations; Electric conduction; Optical properties of solids; Superconductivity and superfluidity; Spin fluctuations.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Many - Particle Physics, 2nded., G.D. Mahan, Plenum Press (1990).2- Many-Particle Theory, E. K. U. Gross, E. Runge, O.Heinonen, Adam Hilger (1991).3- Quantum Theory of Many- Particle Systems, A. L. Fetter, J.D. Walecka, McGraw - Hill (1971).

Course title:Physics of Liquid CrystalsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/A


87

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of liquid crystals and relevant models.Contents of the CourseMain types and classification of liquid crystals; Long ranged order and short ranged order in nematic crystals; Physics of alignment; Defects and knotted defects in nematic crystals; Dynamic, magnetic, electric and optical properties of liquid crystals; Effects of electric and magnetic fields on liquid crystals; Macroscopic behavior of liquid crystals; Phase transitions; Applications in displays (LCD screens, etc.); Lyotropic meso-phases in animate and inanimate systems; Smectic, ferroelectric, polymer, active matrix, dual and multiple color LCDs; Optical computer calculations; Nonlinear response; Thermochromatic liquid crystals.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- The Physics of Liquid Crystals, P. G. De Gennes and J. Prost, Clarendon Press, Oxford, (1995).2- Simple Views on Condensed Matter Physics, P. G. De Gennes, World Scientific, (2006).3- Liquid Crystals: Nature's Delicate Phase of Matter, P. J. Collings, Princeton Univ. Press, (2002).4- Liquid Crystals: Applications and Uses. Edited by B. Bahadur, World Scientific, (1995).5- Optics of Liquid Crystals, P. Yeh, Wiley, (1999).

88

Course title:Special Topics in MagnetismCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of the most recent subjects in the literature, not covered by the offered courses.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

89

Course title:Special Topics in Condensed Matter PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Condensed Matter Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of the most recent subjects in the literature, not covered by the offered courses.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

90

Course title:Advanced Methods in Surface AnalysisCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of the devices and the methods of surface analysis.Contents of the CourseElectron spectroscopy: Auger electron spectroscopy (AES); Scanning Auger microscope; X-ray photoelectron spectroscopy (XPS); UV photoelectron spectroscopy (UPS); Angle resolved UV photoemission spectroscopy (ARPS); Impinging ion method (ion interaction with surface); Low energy ion scattering (LEIS); High energy ion scattering (HEIS); Ion scattering spectroscopy (ISS); Rutherford scattering spectroscopy (RBS); Secondary ion surface mass spectroscopy (SIMS); Static and dynamic depth profiling; Scanning electron microscopy (SEM); Microprobe methods (FIM, FEM); Scanning tunneling microscope (STM); Electron diffraction methods for surface analysis; Low energy electron diffraction (LEED); Theory of Multiple low energy electron scattering; Reflection high energy electron diffraction (RHEED); Photon diffraction methods for surface analysis; Extended X-ray absorption fine structure (EXAFS); Surface-extended X-ray absorption fine structure (SEXAFS); Surface enhanced Raman spectroscopy (SERS); Electron energy loss

spectroscopy (EELS).

91


AttendanceMid-term




Course ReferencesI-Surface analysis: The Principle Techniques, By: J.C. Vickerman, Wiley& Sons. (1997).2-Modem Techniques of Surface Science, D. P. Woodruff and T. A. Delchar, Cambridge Solid State Series, (1986).3-Surface and Thin Film Analysis, Edited by: H. Bubert and H. Jenett, Wiley-VCH. (2002).

Course title:Electrodynamics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Electrodynamics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete the topics introduced in Electrodynamics I course.Contents of the CourseElectromagnetic wave propagation in conductive and dielectric media; Emitting systems; Multipole emission; Dispersion relations and wave broadening in media; Relativistic electrodynamics; Relativistic particles in electromagnetic fields; Emission from charged particles; Electromagnetic wave diffraction; Quantization of electromagnetic waves.

Evaluation method

92


Mid-term Exams



0%

Course References


Course title:Stochastic Processes and Their AnalysisCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the Course

Familiarity with stochastic processes and their analysis.

93

Contents of the CourseTime series; Conditional and correlated distribution functions; Spectral density and fast Fourier transform; Markov processes; Chapman-Kolmogorov equation; Brownian motion and Langevin equation; Fourier filters; Fractals; Detrended fluctuation analysis (DFA); Level crossing analysis; Multi-fractal DFA; Wavelet transformation; Kramers-Moyal expansion; Fokker-Planck equation; Partial Brownian motion.Evaluation methodClass Exams and

AttendanceMid-term




Course References

1- Handbook of Stochastic Methods for Physics, 3rd ed., Chemistry & Natural Science, C. W. Gardner,Springer (2004).2- Introduction to Random Vibration, Spectral & Wavelet Analysis, 3rd ed., D. E. Newland,AddisonWesley(1993).3- The Fokker-Planck Equation, 2nd ed., H. Risken, Springer-Verlag Berlin (1989).4- Stochastic Processes in Physics & Chemistry, 3rd ed., N. G. Van Kampen, North Holland (2007).

Course title:Density Functional Theory and Its ApplicationCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical credits

Prerequisite: N/A

94

Supplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseFamiliarity with DFT theory and applications.Contents of the CourseIntroduction to many electron systems; Hartree-Fock approximation; Configurational interaction; Thomas-Fermi model; Generalization of the Thomas-Fermi model; Hohenberg-Kohn theorems; Kohn-Sham equations; Local surface density approximation (LSDA); Generalized gradient approximation (GGA); Strong interactions in DFT; Time dependent DFT; Applications of DFT; Deficiencies and Advantages of DFT; Beyond the DFT method.


AttendanceMid-term




Course References1- Density- Functional Theory of Atoms and Molecules, R.G. Parr and W. Yang, Oxford University Press (1989).2- Density Functional Theory: An Approach to the Quantum Many_ body Problems, R.M. Dreizler and E.K. U. Gross, Springer (1991).3- Modern Density Functional Theory, J. M. Seminario, Elsevier(l 995).4- Strong Coulomb Correlations in Electronic Structure Calculations, V.I. Anisimov, Gordon and Breac, Science Publishers (2000);

Course title:Advanced Measurements in Condensed Matter PhysicsCredits: 3

95

Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of the new methods in experimental condensed matter.Contents of the CourseX-ray Crystallography; Fluorescence X-ray analysis; Auger electron spectroscopy; Mass spectroscopy; Rutherford back-scattering analysis; Tunneling electron microscopy (TEM); Atomic force microscopy (AFM), SEM, X ray photoectron spectroscopy, UV-Vis photospectroscopy, ARPES, SIMS, BET, DLS, Glowdischarge spectroscopy, Raman Scattering, FT-IR, Ellipsometry, low level measurements, DC & ACmagnetic susceptibility, Contact anglemetry


AttendanceMid-term




Course References1- Surface and Thin Film Analysis, Edited by H. Bubert and H. Jenett, Wiley- VCH (2002).2- The Principal Techniques of Surface Analyzer, John C. Vickerman, John Wiley & Sons Ltd (I 996).3- Introduction to Surface and Thin Film Processes, John A. Venables, Cambridge University Press (2000).

96

Course title:Numerical Modelling and Simulation in Condensed MatterCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of the new methods in experimental condensed matter.Contents of the CourseSimulations in soft condensed matter and statistical mechanics: Colloid systems, Brownian motion and random walk, Polymers, Biological tissues, Granular material. Calculation of free energy (Jarzynski equation and umbrella sampling), Numerical solution of Langevin equation and Fokker Planck equation.Simulations in condensed matter physics: Calculation of Phononic frequencies, thermal and vibrational properties, Phonon and electron transport; Car–Parrinello method; Green function and GW method; Quantum Monte Carlo.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Electronic Structure, Basic Theory and Practical Methods, Richard

M. Martin, Cambridge UniversityPress, Cambridge (2004).

97

2- Statistical Mechanics: Theory and Molecular Simulations, M. E. Tuckerman, Oxford (2010).3- J. Molecular Modeling and Simulations, T. Schlick, Springer (2010).4- Computational Physics of Carbon Nanotubes, Hashem Rafii-Tabar, Cambridge University Press (2009).5- Handbook of Computational Quantum Chemistry, D. B. Cook, Dover (2010).

Course title:Scaling and Renormalization in Statistical PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of the importance of scale and renormalization in statistical physics.Contents of the CourseSimple phase transitions: Phase diagram in simple systems. Mean field theory: Free energy of the mean field; Critical exponents. Corrections to mean field theory: Spin block transformations, 1D Ising model, Behavior of the free energy in different scales. Fixed points and phase diagrams: Ising model with vacancies; Scaling behavior and the finite size effect. Perturbative renormalization group; Ising model near 4D; Gaussian fixed point; Wilson-Fisher fixed point. Low dimensional systems: Critical low dimension; XY 2D model; Coarse-grain method; O(n) model near 2D. Surface critical behavior: Mean field theory; Renormalization group approach. Stochastic systems: Different disorders; Harris criterion; Statistics of the

polymers: Random walk model; Edwards model and Flory

98

relation. Critical dynamics: Continuous and discrete models; Dynamical scaling relations; Formulation of response function. Conformal symmetry: Conformal transformation; Stress tensor; C theorem. Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Scaling and Renormalization in Statistical Physics, John Cardy, Camberidge university press (2000).2- Lectures on Phase Transitions and Critical Phenomena, Goldenfeld, Addison Wesley (1992).

Course title:Critical PhenomenaCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of the physics of critical phenomena.Contents of the Course

99

An introduction to scaling theory: power laws in statistical physics. Principles of phase transitions: A review of statistical mechanics; Phase boundaries and phase transitions; Analytical properties of the Ising model; Spontaneous symmetry breaking; Ergodic breaking. Phase transitions: Transition matrix; Low temperature expansion; Mean field theory. Critical phenomena in fluids: Coexistence of two phases; Critical point proximity; Van der Waals equation. Landau theory: Order parameter; Phenomenological theory of Landau; Continuous phase transitions; First order phase transitions; Inhomogeneous systems; Correlation functions; Fluctuation-Dissipation theorem; Violation of microscopic and phenomenological Landau theory; Gaussian approximation; Critical exponents. Unusual dimensions: Static scale hypothesis; Dynamical critical phenomena. Renormalization group: Spin blocks; Fundamentals of the renormalization group; Causes of scaling behavior; Cross-over phenomena; Corrections to scaling behavior. Unusual dimensions away from equilibrium: Similarity solutions; Renormalization; Perturbation theory for Barenblatt equation; Continuous symmetries; Correlation in ordered phase; Kosterlitz-Thouless transition; Critical phenomena near 4D: ε expansion; Renormalization for Gaussian models; Feynman diagrams; Recurrence relation in renormalization theory.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Scaling and Renormalization in Statistical Physics, John Cardy, Cambridge university press (2000).2- Lectures on Phase Transitions and Critical Phenomena, Goldenfeld, Addison Wesley (1992).

Course title:Soft Condensed MatterCredits: 3Number of Hours: 48Type of the Course: Optional course

Type of the Credits: 3 theoretical credits

100

Prerequisite:N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the students with principles of soft condensed matter physics.Contents of the CourseGeneral introduction to soft matter: Time and energy scales; Long range and short range order; Phase transitions; Introduction to fractals; Linear response theory; Elasticity and hydrodynamics of soft condensed matter; Introduction to the physics of polymers; Ordered monomers; Polymer solutions; Dynamics of the polymers and gels; Introduction to the physics of colloids; Surface tension; Charged colloids; Van der Waals forces; Stability of the colloids; Introduction to liquid crystals; Structure of liquid crystals; Phase transitions; Optical properties; Introduction to the physics of membranes; Membrane fluctuations; Elastic membranes; interaction of multiple membranes; Surface wetting; Equilibrium; Fluctuations on the interface line; Dynamics of wetting.Class Exams and

AttendanceMid-term




Course References1- Principles of Condensed Matter Physics, Chaikin and Lubensky, Cambridge University Press, (1995).2- Polymer Physics, Rubinstein and Colby, Oxford University Press, Oxford, (2003).3- Applied Colloid and Surface Chemistry, Pashley and Karaman, Wiley, (2004).4- The Physics of Liquid Crystals, De Genne and Prost, Clarendon Press, Oxford (1993).5- Statistical Thermodynamics of Surfaces, Interfaces, and Membranes, Safran, Addison-Wesley, Reading,

(1994).

101

Course title:Physics of Nanoelectronic DevicesCredits: 3Number of Hours: 48Type of the Course: Optional course Type of the Credits: 3 theoretical creditsPrerequisite:N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the students with nenoelectronic elements and their governing physics.Contents of the CoursePrinciples of molecular electronics; Deposition methods for molecular electronics; Conductive and semiconducting molecules; Molecular diodes and switches; Nanotechnology: Lithography; Doping; and fabrication techniques; Quantum confinement and its role in current-voltage characteristics of nanoelectronic elements; Physics of optoelectronic devices: Light detectors; IR absorption; Nanoelectromechanical device fabrication: Nanomachining; Nanoelectromechanical systems; Nanoswitches; Accelerometers; Nanostructured solar cells; Nanostructured sensors; Gas sensors, etc.Class Exams and

AttendanceMid-term




Course References1- Semiconductor Nanostructure for Optoelectronic Applications, Todd Steiner, Artech House (2004).2- Nanoscience and Technology, Robert W. Kelsall, John Wiley

(2005).

102

3- Optical Properties of Photonic Crystals, K. Sakoda, Springer (2001).4- Nano-CMOS circuit and physical design, Ban P. Wong, John Wiley (2005).5- RF MEMS and their Applications, Vijay K. Varadan, John Wiley (2003).6- Nanotechnology and Introduction to Nanostructuring Techniques, M. Koher, John Wiley (2003).

Course title:Quantum Disordered SystemsCredits: 3Number of Hours: 48Type of the Course: Optional course Type of the Credits: 3 theoretical creditsPrerequisite:N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseStudy of quantum disordered systems.Contents of the CourseGreen function (Continuous models and strongly correlated models); Perturbation theory with Feynman diagrams (propagators, self-energy, diffusion); Random matrix multiplication (Central limit theorem and generalized central limit; Lyapunov stability); Random matrix theory (Wigner-Dyson ensembles; Statistical distribution of wave functions and eigenvalues); Nonlinear sigm model and supersymmetric field theory (Grossman algebra; bosonic and fermionic fields; Renormalization group); Anderson localization (Weak and strong localization; Scaling theory; Dynamic localization).


103


Exams Projects


0%

Course References

I- Green's Functions in Quantum Physics, E. N. Economou,Springer (2006).2- Quantum Transport Theory, J. Rammer, Westview Press (2008).3- Random Matrices, M. L. Mehta, Academic Press (2004).4- Supersymmetry in Disorder and Chaos, K. Efetov, Cambridge Univ. Press (1999).

Course title:Quantum TransportCredits: 3Number of Hours: 48Type of the Course: Optional course Type of the Credits: 3 theoretical creditsPrerequisite:N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseQuantum mechanical study of transport in solids.Contents of the Course

104

Mesoscopic systems (Mean free path; Phase coherence length; Bohm-Aharanov effect); Time independent scattering theory (Scattering matrix and transition matrix; Green function; Self-energy); Linear response theory and quantum transport (Conductivity with transmission coefficient method; Landauer-Buttiker approach); Integer quantum Hall effect; Universal fluctuations of conductivity; Electron transport in chaotic cavity; Electron-electron and electron-phonon interaction; Non-equilibrium Green function; Keldysh formalism.Class Exams and

AttendanceMid-term




Course References

1- Quantum Transport in Mesoscopic Systems, P. Mello, N. Kumar, Oxford (2004).2- Quantum Transport Theory, J. Rammer, Westview Press (2008).3- Electronic Transport in Mesoscopic Systems, S. Datta, Cambridge Univ. Press (1997).

Course title:Many Body Systems ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Special Topics in Elementary Particle Physics I


105

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo introduce the students to the physics of the many body systems.Contents of the CourseSecond quantization; Green functions in absolute zero; Wick’s theorem; Feynman diagrams; Linear response theory; Green functions in finite temperatures; Matsubara functions; Kubo formalism for electrical conduction; Canonical transformations; Diagonalization of Hamiltonians; Exactly solvable models; Independent boson models; Tomonaga model.Class Exams and

AttendanceMid-term




Course References


Course title:Interaction of Light and Matter

106

Credits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseIntroduction to the fundamentals of the classical and quantum models of interaction of the electromagnetic waves with matter and associated phenomena.Contents of the CourseAbsorption and scattering of light from small particles: Scattering matrix; Amplitude scattering matrix; Absorption and scattering of light from a spherical particle; Internal field and the scattered field; Scattering matrix elements; Asymmetry parameters and radiation pressure; Calculation of absorption cross section and scattering. Optical properties of the bulk: Lorentz model; Material response to incident field; Penetration depth of the electromagnetic wave; Drude model. Absorption and radiation of light: Planck’s law; Einstein coefficients; Bloch-Maxwell equations; Interaction of light with cold atoms; Nonlinear effects in light and matter interactions; Laser induced plasma; Applications of spectroscopy; Basic phototmetric quantities; Continuous and discrete spectra; Interactions with strong fields; Density matrix. Interaction of light and semiconductors: Energy bands of the semiconductor; p-n junctions; The effects of light on the electrical properties of semiconductors. Evaluation methodClass Exams and

AttendanceMid-term




Course References

107

1- Absorption and Light Scattering by Small Particles, C.F. Bohren and D.R. Huffinan, Wiley (1983).2- Laser Spectroscopy, W. Demtroder, Springer (1996).3- Quantum Theory of the Optical and Electronic Properties of Semiconductors, H. Haug and S.W. Koch,World Scientific (1993).

Course title:Quantum OpticsCredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the PhD student with the quantization of the electromagnetic wave and its modern applications.Contents of the CourseQuantization of electromagnetic radiation; Maxwell equation; Single mode fields; Creation and annihilation operators; Number state representation; Thermal modes; Field fluctuations; Quantization of many mode electromagnetic fields; Density of states; Planck’s formula; Density operator; Coherent states; Eigenstates of non-Hermitian operators; Completeness theorem; Properties of coherent states; Commutation relations; Phase space distribution; P distribution; Wigner distribution; Characteristic functions; Interaction of atoms and fields; Transition rate equations; Rabi oscillations; Jaynes-Cummings model; Dressed states; Dispersive interactions; Detectors and quantum principles of detectors; First order coherency, Bunching and anti-bunching effects; Cavity quantum electrodynamics (QED); Purcell effect; Micro-masers; Preparation of Schrodinger cat states; Solid state systems; Interferometers (e.g. Mach-Zehnder, etc.) and beam splitters; Input/Output systems; Homodyne and Heterodyne detectors; Squeezed states; Squeezing

operators; Bogoliubov transformations; Quadrature squeezing; Number squeezing; 2D squeezing and entanglement.

108


AttendanceMid-term




Course References1- Introductory Quantum Optics, Gerry and Knight, Cambridge university press (2008).2- Quantum Optics, M. O. Scully and M. S. Zubairy, Cambridge university press (2002).3- Quantum Optics, D. F. Walls, G. J. Milburn, Springer, (2008).

Course title:Quantum InformationCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseFundamentals of quantum information including quantum computers, cryptography and information transmission.Contents of the CourseReview of quantum mechanics; Review of computer science; Quantum calculations: Quantum circuits; Quantum algorithms; Single bit operations; Control operations; Quantum Fourier transformation and its applications: Physical realization of a quantum computer; Required conditions for a quantum calculation. Quantum computers based on harmonic oscillators,

optical photons, Cavity quantum electrodynamics, Pion traps;

109

Nuclear magnetic resonance, and other related systems; Noise and quantum operations; Correction and error; Theory of quantum information; Data compaction; Classical data transfer in noisy channels; Quantum data transfer in noisy channels; Quantum entanglement as a physical tool; Quantum cryptography.


AttendanceMid-term




Course References1- Quantum computation and quantum information, Michael A. Nielsen and Isaac L. Chuang,Cambridge University Press, London, (2000).


110

for Astronomy and Gravitational Physics Sub-Discipline

Course title:Quantum Field Theory ICredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: Advanced Quantum Mechanics IISupplementary Experimental Education Required:

111

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the PhD student with the fundamentals and applications of quantum field theory.Contents of the CourseLagrangian formulation of field theory; Klein-Gordon field; Dirac fields; Covariant theory of photons; S matrix expansion; Feynman diagrams and QED rules; Low order processes in QED; Radiative correction; Renormalization; Weak interactions; Spontaneous symmetry breaking; Electroweak interactionsEvaluation methodClass Exams and

AttendanceMid-term




Course References1- Quantum Field Theory, F. Mandl and G. Shaw, John-Wiley and Sons (1984).2- Quantum Field Theory, Lewis H. Ryder, Cambridge University Press (I996).

Course title:Advanced Gravitational Physics

112

Credits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo study the geometrical structure of space-time and the general relativity.Contents of the CourseA review of special relativity; Riemannian geometry; Einstein field equations; Newtonian limit; Schwarzschild and Kerr solutions; Classical tests of general relativity; Linearized general relativity; Symmetries of space-time and Killing vectors; Tetrads; Causal relations; Stress-Energy tensor; Hamiltonian formulation.Class Exams and

AttendanceMid-term




Course ReferencesI-Statistical Mechanics, 2nd ed., R. K. Pathria, Butterworth-Heinemann (1996).2-Statistical Mechanics, K. Huang, Wiley (1987).3-Statistical Mechanics, K. Reif, McGraw-Hill (1987).4-Statistical Mechanics, S. K. Ma, World Scientific (1985).5-Statistical Physics, Landau, Lifshitz, Pitaevskii, Elsevier (1980).6-A Modern Course in Statistical Physics, 2nd ed., E. Reichle, Wiley (1998).

113

Course title:Advanced CosmologyCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ACorequisite: Advanced Gravitational Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo study the large scale structure of the universe and its thermal and physical evolution.Contents of the CoursePrinciples of cosmology; Measurements of distance; Friedmann models; Cosmological constants; Cosmic microwave background radiation; Thermal history of the universe; Dark matter; Dark energy; Nucleation; Structure formation; Inflation and the early universe. Class Exams and

AttendanceMid-term




Course References1-Cosmology, S. Weinberg, OUP, (2008).2-The Early Universe, E.W. Kolb and M.S. Turner, Addison-Wesley,

(1990).

114

3-Fundamentals of Cosmology, J. Rich, Springer, (2010).

Course title:Black Hole PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Advanced Gravitational Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of black holes as one of the predictions of general relativity.Contents of the CourseSpherical black holes: Formation of black holes; White dwarves; Motion of particles in the presence of black holes. Rotating black holes: Kerr black holes; Charged rotating black holes; Motion of test particles; Black hole perturbation. General properties of black holes: Hawking’s area theorem; Singularity theorems and event horizons; Stable black holes and uniqueness theorems; Physical effects in the presence of black holes (e.g. energy excavation from black holes); Electromagnetic fields in the presence of black holes; Interactions of black holes; Introduction to astrophysics and electrodynamics and thermodynamics of black holes.Class Exams and

AttendanceMid-term



115


Course ReferencesI-Black Hole Physics, Frolov & Novihov, Kluwer Academic Pub (1998).2-Mathematical Theory of Black Holes, S. Chandrasekhar, OUP (1983).3-Black holes, P.K. Townsend, DAMTP Lecture Notes (1997).4-Les Houches Lectures on Black Holes, A. Stroinger (1995).

Course title:Special Topics in Gravity ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Advanced Gravitational PhysicsSupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo educate the PhD student in a particular skill or topic on gravitation that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.

Evaluation method

116


Mid-term Exams



0%

Course References

Course title:Special Topics in Gravity IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Advanced Gravitational PhysicsSupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo educate the PhD student in a particular skill or topic on gravitation that has not been covered by the presented courses by the faculty.

Contents of the Course117

Contents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

Course title:Special Topics in CosmologyCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()


118

To educate the PhD student in a particular skill or topic on cosmology that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

Course title:Quantum GravityCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Special Topics in Elementary Particle Physics I


119

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of different quantization methods of gravity.Contents of the CourseCovariant formulation of quantum gravity; Hamiltonian formulation with respect of old and new variables; Quantum dynamics of geometry and the problem of time and semi-classical approximation; Quantum dynamics of rings and the quantization of surfaces and volumes; Quantization of black holes; Quantum cosmology and boundary conditions.Class Exams and

AttendanceMid-term




Course ReferencesI-Quantum Gravity, C. Kiefer, Clarendon Press (2004).2-Quantum Gravity, C. Rovelli, CUP (2003).3-Black Boles, P.K. Townsend, DAMTP Lecture Notes (1997).4-Lectures on Non-Perturbative Canonical Gravity, A. Ashehar, World Scientific (1991).

Course title:Quantum Field Theory in Curved Space-TimeCredits: 3

Number of Hours: 48

120

Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Quantum Field Theory I, Advanced Gravitational Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study the challenges in defining quantum fields in curved space-times.Contents of the CourseQuantum fields in Minkowski space-times; Path integral formulation and field in finite temperatures; Introduction to fields in curved space-times; Concept of particles; Adiabatic vacuum; Green function; Conformal vacuum; Flat space-time with unconventional topologies; Casimir effect; Boundary effects; Curved space-times (cosmological space-time); Renormalization of stress tensor; Energy of quantum black holes; Hawking radiation.Class Exams and

AttendanceMid-term




Course ReferencesI-Quantum Fields in Curved Space, Birrell and Davies, CUP (1983).2-Aspects of Quantum Field Theory in Curved Space-time, S. A. Fulling, CUP.3-Quantum Field Theory in Curved Space-time, B.S. Dewitt, Phys. Rep, 19c, 297 (1975).4-The Casimir Effect and its Applications, Mostepanenko and Trunov, Clarendon Press, (1997).5-Quantum Field Theory in Curved Space Time and Black Hole Thermodynamics, R. M. Wald, TheUniversity of Chicago Press (1994).

121

Course title:Relativistic AstrophysicsCredits: 3Number of Hours: 48Type of the Course: Optional course Type of the Credits: 3 theoretical creditsPrerequisite:Gravitational Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe application of general relativity in astrophysical systems.Contents of the CourseIntroductory survey of general relativity; Weak gravitational field (PN approximation, gravitational lensing); Compact stars (white dwarves, neutron stars); Black holes; Gravitational waves; Cosmic background radiation; Dark matter.Class Exams and

AttendanceMid-term




Course References

I-Basic Concepts in Relativistic Astrophysics, L. Z. Fang and R.Ruffini, World Scientific (1983).2-Relativistic Astrophysics, Ed. By B. J. Jones and D.Markovic, Cambridge Univ. Press (1996).

122

3-General Relativity with Applications to Astrophysics, N. Straumann, Springer-Verlag (2004).

Course title:Special Topics in AstrophysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Relativistic AstrophysicsSupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo educate the PhD student in a particular skill or topic on astrophysics that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

123

Course title:Advanced Mathematical PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize students with topology and higher mathematics suitable for PhD students of physics.Contents of the CourseIntroductory mathematical concepts, including mappings, vector spaces, topological spaces, etc.; Introductory topology; Differential geometry; Manifolds and differential forms; Fundamental groups; Homotopy groups of higher order; De Rham Cohomology; Fiber bundles; Complex manifolds; Physical applications: Yang-Mills theory, string theory, general relativity, etc.

Evaluation method

124


Mid-term Exams



0%

Course References


Course title:Special Topics in Mathematical Physics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Relativistic AstrophysicsSupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()


125

To educate the PhD student in a particular skill or topic that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

Course title:Quantum Field Theory IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Quantum Field Theory I


126

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Quantum Field Theory I.Contents of the CourseLagrangian formulation; Symmetries and gauge fields: Noether’s theorem; Complex scalar field and electromagnetic fields; Topology and vacuum; Yang-Mills field and the geometry of the gauge fields; Path integrals in quantum mechanics and perturbation theory through the S matrix formulation; Introduction to functional calculation; Quantization of the path integrals and Feynman rules; Scalar and spinor fields: Generating functional for a free scalar field and a scalar field with a Φ interaction and their n-point functions; Generating functional for connected diagrams; Path integrals for spinor fields and scattering cross section calculation; Path integral quantization of gauge fields: Quantum electrodynamics; Non-Abelian gauge fields with Faddeev-Popov method; Self-energy; Ward-Takahashi equality in QED; BRST transformation and Slavnov-Taylor equality; Spontaneous symmetry breaking and Salam-Weinberg model; Goldstone theorem; Spontaneous breaking of gauge symmetry.


AttendanceMid-term




Course References1- Quantum Field Theory, Lewis H. Ryder, Cambridge University Press (1996).2- The Quantum Theory of Fields (volumes I and II), Steven Weinberg, Cambridge Univ. Press (1995).3- Quantum Field Theory, Claude Itzykson and Jean - Bernard Zuber, McGraw – Hill (1988)

127

Course title:Electrodynamics IICredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: Electrodynamics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete the topics introduced in Electrodynamics I course.Contents of the CourseElectromagnetic wave propagation in conductive and dielectric media; Emitting systems; Multipole emission; Dispersion relations and wave broadening in media; Relativistic electrodynamics; Relativistic particles in electromagnetic fields; Emission from charged particles; Electromagnetic wave diffraction; Quantization of electromagnetic waves.Evaluation methodClass Exams and

AttendanceMid-term




Course References

1- Classical Electrodynamics, J. D.Jackson, J. Wiley & Sons (1998).2- Classical Electromagnetic Radiation, 3rd ed., M.A. Heald, J.B. Marion, Saunders College Pub. (1995).3- Classical Electricity and Magnetism, P. Panofsky, Addison-Wesley (1976).

128

4- Classical Electrodynamics, H. C. Ohanian, Infinity Science Press, LLc (2006).

Course title:Advanced Statistical Mechanics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Advanced Statistical Mechanics I course.Contents of the CourseCluster expansion and Virial coefficients; Critical phenomena and fluctuations near equilibrium; Ising model; Classical fluid; Quantum fluid; Transport theory, hydrodynamics and Onsager relations; Fluctuation-Dissipation theorem; Nonequilibrium phase transitions; Critical phenomena and Landau theory.Evaluation methodClass Exams and

AttendanceMid-term




129

Course References1- Statistical Mechanics, 2nded., R.K. Pathria, Butterworth-Heinemann (1996).2- Statistical Mechanics, K. Huang, Wiley ( 1987).3- Statistical Mechanics, K. Reif, McGraw - Hill (1987).4- Statistical Mechanics, S.K. Ma, World Scientific (1985).5- Statistical Physics, Landau, Lifshitz, Pitaevskii, Elsevier (1980).6- A Modern Course in Statistical Physics, E. Reichle (2nd edition), Wiley (1998).

Course title:Advanced Elementary Particle Physics ICredits: 3Number of Hours: 48Type of the Course: Optional course Type of the Credits: 3 theoretical creditsPrerequisite:N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the PhD student with the fundamentals and applications of particle physics.Contents of the CourseKinematics; Interactions and classification of particles; Symmetries and conservation laws; Isospin; Isospin selection rules; Weak and electromagnetic interactions; Electromagnetic structure of the nucleons; Resonances; Weak interactions and parity non-conservation; Decay of K

meson and CP non-conservation; Conserved vector current

130

theory, unitary symmetry and quark model; Symmetry and current algebra; Weak chromodynamic interactions; Accelerators and particle detectors.Class Exams and

AttendanceMid-term




Course References

1-Elementry Particles and Symmetries, Lewis H. Ryder, Gordon and Breach Science Publishers(1975).2-Introduction to High Energy Physics, Donald H. Perkins,Cambridge University Press (2000).3-Collider Physics, V. Barger and R. Philips, Addison-Wesley (1987).

Course title:Advanced Elementary Particle Physics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()


131

To complete and build upon the subjects introduced in Advanced Elementary Particle Physics I.Contents of the CourseAn introduction to standard model; Gauge theories (Noether’s theorem; Yang-Mills theory; QED and QCD; Renormalization and related groups); Symmetries of strong interactions (Chiral symmetry; Spontaneous breaking of symmetry; Spontaneous chiral symmetry breaking); Electroweak interactions (SU(1)*U(1)), Anomalies and U(1) problem; Tests of the standard model (Scale in QED, ϕ measurement, W and Z creation; Higgs boson; Kobayashi-Maskawa quark mixing matrix); Grand unified theory (SU(5), SO(10)); Introduction to supersymmetry and superstring theory.


AttendanceMid-term




Course References1- Elementary Particles and Symmetries, Lewis H. Ryder, Gordon and Breach Science Publishers (1975).2- Introduction to High Energy Physics, Donald H. Perkins, Cambridge University Press (2000).3- Collider Physics, V. Barger and R. Philips, Addison - Wesley (1987).

Course title:Quantum Field Theory IIICredits: 3Number of Hours: 48

Type of the Course: Optional course

132

Type of the Credits: 3 theoretical creditsPrerequisite: Quantum Field Theory IISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Quantum Field Theory II.Contents of the CourseRenormalization: Divergences in ϕ theory; Dimensional regularization in ϕ theory and renormalization in the two loop approximation; Renormalization group; General proof of renormalizability of QED; Asymptotic freedom of Yang-Mills theory and renormalization of a pure Yang-Mills theory; Chiral anomaly; Renormalization of Yang-Mills theory after spontaneous symmetry breaking; Effective potential; Topological concepts in field theory: Sine-Gordon equation; Vortex lines; Solitons and t’Hooft-Polyakov monopoles; Instantons and other topics such as: Lattice gauge theories; Conformal field theory.


AttendanceMid-term




Course References1- Quantum Field Theory, Lewis H. Ryder, Cambridge University Press (1996).2- The Quantum Theory of Fields (volumes I and 11), Steven Weinberg, Cambridge Univ. Press (1995).3- Quantum Field Theory, Claude ltzykson and Jean Bernard Zuber, McGraw-Hill(l 988).

133

Course title:Special Topics in Elementary Particle Physics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Advanced Elementary Particle Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo educate the PhD student in a particular skill or topic that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

134

Course title:Advanced Nuclear PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional course Type of the Credits: 3 theoretical creditsPrerequisite:N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo analyze fundamental concepts in nuclear physics: Nuclear forces, general properties of nuclei and nuclear modelsContents of the CourseStructure of nucleons; Quarks and leptons; Isospin; Magnetic moment of the nuclei; General properties of nuclei; Nuclei and nuclear states; Dimensions and the structure of nuclei; Binding energy of nucleus; Isobar and Coulumbic effects; Processes of nuclear decay; Non-interacting Fermi gas; Spherical potential well; Spherical potential wells for particles with ½ spin; Layer structure of nucleus; Optical potential; Nilsson model; Anti-symmetric nuclear states; Interacting Fermi gas; Hartree-Fock theory for finite nuclei; Hartree-Fock theory for pairs; Pairing and the pair formation energy; Closed shells and particle-particle excitation.Class Exams and

AttendanceMid-term




135

Course References1- Introductory Nuclear Physics, 2nd ed.,Samuel. S. M. Wong, Wiley-Interscience (1999).2~ Theoretical Nuclear Physics, A. De Shalit, H. Feshbach, John Wiley & Sons (1974). ·3- Nuclear Physics, an Introduction, 2nd.,W. E. Burcham, Longman (1973).4- Introduction to Nuclear Physics, Harald. A. Enge, Addison Wesley (1966).5- Nuclear and Particle Physics, E. B. Paul, North-Holland (1969).

Course title:Quantum Chromodynamics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsCorequisite: Quantum field theory ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of the quark-gluon structure of the matter.Contents of the CourseQCD as a field theory; Renormalization in QCD; Deep inelastic perturbations in QCD; Perturbative QCD; OZI rule and forbidden transitions and decays; Drell-Yan process; Jets and SVZ summation rules; Hadrons as bound states of quarks; Light quarks; PCAC and chiral dynamics;


136


Exams Projects


0%

Course References



137

for Nuclear Physics Sub-Discipline

Course title:Nuclear StructureCredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: N/ACorequisite: Advanced Nuclear PhysicsSupplementary Experimental Education Required:

138

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseAnalysis of the observable effects with models and methods in nuclear physics.Contents of the CourseMesons and excited states in nucleons; Effects of mesons in nuclei; Scattering experiments; Nuclear forces; Form factor; Electric and magnetic dipoles; Scattering matrix for coupled waves; Calculation of potentials from meson potential theory; Nuclear binding energy; Nuclear models; Collective motion of nucleons; Hartree-Fock calculations.Class Exams and

AttendanceMid-term




Course References

I-Structure of the Nucleus, Preston and Bhaduri, Addison Wesley (1975).2-Nuclear Structure, J.M. Irvine, Pergamon Press (1974).3-Nuclear Physics, Roy and Nigan, Wiley (1983).4-Theory of Nuclear Structure, M.K. Pal, East - West Press (1982).

Course title:Many Body Systems ICredits: 3Number of Hours: 48

139

Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: Special Topics in Elementary Particle Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo introduce the students to the physics of the many body systems.Contents of the CourseSecond quantization; Green functions in absolute zero; Wick’s theorem; Feynman diagrams; Linear response theory; Green functions in finite temperatures; Matsubara functions; Kubo formalism for electrical conduction; Canonical transformations; Diagonalization of Hamiltonians; Exactly solvable models; Independent boson models; Tomonaga model.Class Exams and

AttendanceMid-term




Course References


140

Course title:Quantum Field Theory ICredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsPrerequisite: Advanced Quantum Mechanics IISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the PhD student with the fundamentals and applications of quantum field theory.Contents of the CourseLagrangian formulation of field theory; Klein-Gordon field; Dirac fields; Covariant theory of photons; S matrix expansion; Feynman diagrams and QED rules; Low order processes in QED; Radiative correction; Renormalization; Weak interactions; Spontaneous symmetry breaking; Electroweak interactionsEvaluation methodClass Exams and

AttendanceMid-term




Course References1- Quantum Field Theory, F. Mandl and G. Shaw, John-Wiley and Sons (1984).2- Quantum Field Theory, Lewis H. Ryder, Cambridge University

Press (I996).

141

Course title:Quantum Chromodynamics ICredits: 3Number of Hours: 48Type of the Course: Specialty courseType of the Credits: 3 theoretical creditsCorequisite: Quantum field theory ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of the quark-gluon structure of the matter.Contents of the CourseQCD as a field theory; Renormalization in QCD; Deep inelastic perturbations in QCD; Perturbative QCD; OZI rule and forbidden transitions and decays; Drell-Yan process; Jets and SVZ summation rules; Hadrons as bound states of quarks; Light quarks; PCAC and chiral dynamics;Class Exams and

AttendanceMid-term




Course References

142


Course title:Many Body Systems IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Many Body Systems ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Many Body Systems I.Contents of the CourseElectron gas; Exchange and correlation energy; High density limit of a Dickens lattice; Formulation of dielectric functions; STLS method; Summation rules; Single, multiple and collective excitations; Plasma oscillations; Density functional theory; Hubbard model; Liquid Helium; Ground state properties

and excitation spectra of He4, Liquid He3, Landau theory about

143

liquid Fermi theory; Superfluidity of liquid He3, Bosonic and Fermionic wave functions; Stochastic methods; Monte Carlo method; Comparison of different techniques in many body physics.Class Exams and

AttendanceMid-term




Course References

1- Quantum Theory of Many Particle Systems, A.L. Fetter and J.D. Walecka, McGraw-Hill (1971).2- Many-Body Problems and Quantum Field Theory, Ph. A. Martin and F. Rothen, Springer (2002).3- Quantum Many Particle Systems, J. W. Negele and H. Orland, Perseus Books (1998).

Course title:Quantum Chromodynamics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Quantum Chromodynamics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()


144

The study of perturbative and non-perturbative methods in the analysis of quark-gluon structure of matter.Contents of the CourseNon-perturbative QCD; Non-perturbative phenomenological methods in QCD; Chiral perturbation; Effective Lagrangian for QCD; Symmetries of the standard model; Pion and nucleon systems and Chpt; Interactions of nucleons and Chpt.Class Exams and

AttendanceMid-term




Course References

1- Nonperturbative Methods in Quantum Field Theory, A.W. Schreiser, A.G. William and A.W. Thomas,World Scientific, Singapore (1998).2- Quantum Chromodynamics, W. Greiner, S. Schramm, E. Stein, Springer (2002).3- Effective Lagrangians for the Standard Model, Texts and Monographs in Physics, Springer (1999).4- Chiral Dynamics in Nucleons and Nuclei, Int. J. Mod. E, V. Bernard, N. Kainer, Uef-G.Meisner(1995).5- The Structure of the Nucleon, A.W. Thomas, W. Weise, Wiley- VCH (2000).6- Introduction to Chiral Perturbation Theory, S. Scherer, JFK, Germany (2002).

Course title:Advanced Elementary Particle Physics ICredits: 3

Number of Hours: 48

145

Type of the Course: Optional course Type of the Credits: 3 theoretical creditsPrerequisite:N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the PhD student with the fundamentals and applications of particle physics.Contents of the CourseKinematics; Interactions and classification of particles; Symmetries and conservation laws; Isospin; Isospin selection rules; Weak and electromagnetic interactions; Electromagnetic structure of the nucleons; Resonances; Weak interactions and parity non-conservation; Decay of K meson and CP non-conservation; Conserved vector current theory, unitary symmetry and quark model; Symmetry and current algebra; Weak chromodynamic interactions; Accelerators and particle detectors.Class Exams and

AttendanceMid-term




Course References

1-Elementry Particles and Symmetries, Lewis H. Ryder, Gordon and Breach Science Publishers(1975).2-Introduction to High Energy Physics, Donald H. Perkins,Cambridge University Press (2000).3-Collider Physics, V. Barger and R. Philips, Addison-Wesley (1987).

146

Course title:High Energy Nuclear PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional course Type of the Credits: 3 theoretical creditsPrerequisite:Advanced Nuclear PhysicsSupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe structure of nucleons in high energies.Contents of the CourseQuark structure of nucleons and hadrons; Experiments with high lateral momentum; Inelastic scattering; The role of gluons in nucleons and nuclei; Quark plasma; Scattering of heavy ions in high energies; Study of polarization in vacuum with quark potentials.Class Exams and

AttendanceMid-term




Course References

I-The Structure of Proton, R. G. Roberts, Cambridge university Press (1990).2-Basic Ideas and Concepts in Nuclear Physics, K. Heyde, IOP, Bristol (1994).

147

3-Introduction to High Energy Physics, D. H. Perkins, Addinson - Wesly (1972).4-Femtophysics, M. G. Bowler, Pergamon Press (1990).

Course title:Detector PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional course Type of the Credits: 3 theoretical creditsPrerequisite:N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseThe study of the methods of measurement in nuclear and particle physics, and particle detectors.Contents of the CourseMotivations behind particle detectors; Mutual interactions of charged particles and matter; Coherent effects in charged particles; Mutual interactions of electrons and charged particles; Magnetic calorimeters; Wavelength dispersive spectroscopy; Energy dispersive spectroscopy; Scintillation detectors; Semiconductor detectors.Class Exams and

AttendanceMid-term




148

Course References

1- Detectors for Particle Radiation, K. I .Kleinknecht, Cambridge Press (200 I).2- The Particle Detector Brief Book, R. K. Bock and A. Vasilescu, Springer (1998).3- Techniques for Nuclear and Particle Physics Experiment, W.R. Leo, Springer (1994).

Course title:Accelerator Physics ICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo familiarize the PhD student with the structure and principles of accelerators and the beam dynamics.Contents of the Course

149

Particle motion in electromagnetic fields; Electromagnetic optics of particles; Electrostatic accelerators; Linear inductive accelerators; Betatrons; Phase dynamics; Radio frequency linear accelerators; Cyclotrons; Resonant non-linear betatrons and their effects on radiation; Landau damping for non-linear beams; Electron and proton polarization; Electron cooling; Advanced methods for measurement of particle trajectoriesEvaluation methodClass Exams and

AttendanceMid-term





Course title:Accelerator Physics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Accelerator Physics ISupplementary Experimental Education Required:

150

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo expand and build upon the subjects introduced in Accelerator Physics I.Contents of the CourseSynchrotron motion; Longitudinal motion equation; Adiabatic synchrotron motion; RF phase; Physics of storage rings; Exhausts in electron storage rings; Free electron laser; Beam-beam interaction.Evaluation methodClass Exams and

AttendanceMid-term




Course ReferencesI- Principle of Charge Particle Acceleration, Humphries, Wiley (1999).2- Accelerator Physics, S.Y. Lee, World Scientific (2011).

Course title:Special Topics in Nuclear Physics ICredits: 3

Number of Hours: 48

151

Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo educate the PhD student in a particular skill or topic that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

Course title:Special Topics in Nuclear Physics II152

Credits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Special Topics in Nuclear Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo educate the PhD student in a particular skill or topic that has not been covered by the presented courses by the faculty.Contents of the CourseContents and the course work are organized by the thesis advisor.Evaluation methodClass Exams and

AttendanceMid-term




Course References

153

Course title:Quantum Field Theory IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Quantum Field Theory ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Quantum Field Theory I.Contents of the CourseLagrangian formulation; Symmetries and gauge fields: Noether’s theorem; Complex scalar field and electromagnetic fields; Topology and vacuum; Yang-Mills field and the geometry of the gauge fields; Path integrals in quantum mechanics and perturbation theory through the S matrix formulation; Introduction to functional calculation; Quantization of the path integrals and Feynman rules; Scalar and spinor fields: Generating functional for a free scalar field and a scalar field with a Φ interaction and their n-point functions; Generating functional for connected diagrams; Path integrals for spinor fields and scattering cross section calculation; Path integral quantization of gauge fields: Quantum electrodynamics; Non-Abelian gauge fields with Faddeev-Popov method; Self-energy; Ward-Takahashi equality in QED; BRST transformation and Slavnov-Taylor equality; Spontaneous symmetry breaking and Salam-Weinberg model; Goldstone theorem; Spontaneous breaking of gauge symmetry.


AttendanceMid-term




154

Course References1- Quantum Field Theory, Lewis H. Ryder, Cambridge University Press (1996).2- The Quantum Theory of Fields (volumes I and II), Steven Weinberg, Cambridge Univ. Press (1995).3- Quantum Field Theory, Claude Itzykson and Jean - Bernard Zuber, McGraw – Hill (1988)

Course title:Electrodynamics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Electrodynamics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete the topics introduced in Electrodynamics I course.Contents of the CourseElectromagnetic wave propagation in conductive and dielectric media; Emitting systems; Multipole emission; Dispersion relations and wave broadening in media; Relativistic electrodynamics; Relativistic particles in electromagnetic fields; Emission from charged particles; Electromagnetic wave diffraction; Quantization of electromagnetic waves.Evaluation methodClass Exams and

AttendanceMid-term




155

Course References


Course title:Advanced Statistical Mechanics IICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Advanced Statistical Mechanics I course.Contents of the CourseCluster expansion and Virial coefficients; Critical phenomena and fluctuations

near equilibrium; Ising model; Classical fluid; Quantum fluid;

156

Transport theory, hydrodynamics and Onsager relations; Fluctuation-Dissipation theorem; Nonequilibrium phase transitions; Critical phenomena and Landau theory.Evaluation methodClass Exams and

AttendanceMid-term




Course References1- Statistical Mechanics, 2nded., R.K. Pathria, Butterworth-Heinemann (1996).2- Statistical Mechanics, K. Huang, Wiley (1987).3- Statistical Mechanics, K. Reif, McGraw - Hill (1987).4- Statistical Mechanics, S.K. Ma, World Scientific (1985).5- Statistical Physics, Landau, Lifshitz, Pitaevskii, Elsevier (1980).6- A Modern Course in Statistical Physics, E. Reichle (2nd edition), Wiley (1998).

Course title:Advanced Mathematical PhysicsCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:

Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()

157

General Goals of the CourseTo familiarize students with topology and higher mathematics suitable for PhD students of physics.Contents of the CourseIntroductory mathematical concepts, including mappings, vector spaces, topological spaces, etc.; Introductory topology; Differential geometry; Manifolds and differential forms; Fundamental groups; Homotopy groups of higher order; De Rham Cohomology; Fiber bundles; Complex manifolds; Physical applications: Yang-Mills theory, string theory, general relativity, etc. Evaluation methodClass Exams and

AttendanceMid-term




Course References


Course title:Interaction of Light and Matter

158

Credits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseIntroduction to the fundamentals of the classical and quantum models of interaction of the electromagnetic waves with matter and associated phenomena.Contents of the CourseAbsorption and scattering of light from small particles: Scattering matrix; Amplitude scattering matrix; Absorption and scattering of light from a spherical particle; Internal field and the scattered field; Scattering matrix elements; Asymmetry parameters and radiation pressure; Calculation of absorption cross section and scattering. Optical properties of the bulk: Lorentz model; Material response to incident field; Penetration depth of the electromagnetic wave; Drude model. Absorption and radiation of light: Planck’s law; Einstein coefficients; Bloch-Maxwell equations; Interaction of light with cold atoms; Nonlinear effects in light and matter interactions; Laser induced plasma; Applications of spectroscopy; Basic phototmetric quantities; Continuous and discrete spectra; Interactions with strong fields; Density matrix. Interaction of light and semiconductors: Energy bands of the semiconductor; p-n junctions; The effects of light on the electrical properties of semiconductors. Evaluation methodClass Exams and

AttendanceMid-term




Course References

159

1- Absorption and Light Scattering by Small Particles, C.F. Bohren and D.R. Huffinan, Wiley (1983).2- Laser Spectroscopy, W. Demtroder, Springer (1996).3- Quantum Theory of the Optical and Electronic Properties of Semiconductors, H. Haug and S.W. Koch,World Scientific (1993).

Course title:Quantum Field Theory IIICredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: Quantum Field Theory IISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo complete and build upon the subjects introduced in Quantum Field Theory II.Contents of the CourseRenormalization: Divergences in ϕ theory; Dimensional regularization in ϕ theory and renormalization in the two loop approximation; Renormalization group; General proof of renormalizability of QED; Asymptotic freedom of Yang-Mills theory and renormalization of a pure Yang-Mills theory; Chiral anomaly; Renormalization of Yang-Mills theory after spontaneous symmetry breaking; Effective potential; Topological concepts in field theory: Sine-Gordon equation; Vortex lines; Solitons and t’Hooft-Polyakov monopoles; Instantons and other topics such as: Lattice gauge theories; Conformal field theory.


AttendanceMid-term



160


Course References1- Quantum Field Theory, Lewis H. Ryder, Cambridge University Press (1996).2- The Quantum Theory of Fields (volumes I and 11), Steven Weinberg, Cambridge Univ. Press (1995).3- Quantum Field Theory, Claude ltzykson and Jean Bernard Zuber, McGraw-Hill (1988).

Course title:Density Functional Theory and Its ApplicationCredits: 3Number of Hours: 48Type of the Course: Optional courseType of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseFamiliarity with DFT theory and applications.Contents of the CourseIntroduction to many electron systems; Hartree-Fock approximation; Configurational interaction; Thomas-Fermi model; Generalization of the Thomas-Fermi model; Hohenberg-Kohn theorems; Kohn-Sham equations; Local surface density approximation (LSDA); Generalized gradient approximation (GGA); Strong interactions in DFT; Time dependent DFT;

161

Applications of DFT; Deficiencies and Advantages of DFT; Beyond the DFT method.


AttendanceMid-term




Course References1- Density- Functional Theory of Atoms and Molecules, R.G. Parr and W. Yang, Oxford University Press (1989).2- Density Functional Theory: An Approach to the Quantum Many_ body Problems, R.M. Dreizler and E.K. U. Gross, Springer (1991).3- Modern Density Functional Theory, J. M. Seminario, Elsevier(l 995).4- Strong Coulomb Correlations in Electronic Structure Calculations, V.I. Anisimov, Gordon and Breac, Science Publishers (2000);

Course title:Advanced Plasma Physics ICredits: 3Number of Hours: 48Type of the Course: Specialty course (Atomic & Molecular Physics); Optional course (Nuclear Physics)Type of the Credits: 3 theoretical creditsPrerequisite: N/ASupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the Course

162

To familiarize the PhD student advanced concepts of plasma physics, its models and the propagation of electromagnetic waves in plasma mediums.Contents of the CourseIntroductory concepts of plasmas (Debye length, plasma parameters, concept of temperature); Plasma creation; Single-particle motion in homogeneous and inhomogeneous fields; Adiabatic invariants of plasma systems; Fluid model of plasma; MHD (magneto-hydrodynamics) equations and macroscopic properties of plasmas; Two fluid and single fluid models of plasma; Electrostatic waves in plasma; Electromagnetic waves in plasma; Propagation parallel and perpendicular to the guiding magnetic field; Kinetic equations of plasma; Instabilities of fluid plasma and classification of these instabilities; Stable plasma without and with magnetic fields.Evaluation methodClass Exams and

AttendanceMid-term




Course References

1- Principles of Plasma Physics, N.A.Krall & A.W.Trivelpiece, McGraw- Hill (1973).2- Fundamental of Plasma Physics, J.A. Bittencourt, Pergamon Press (1986).3- Plasma Dynamics, T.J. M Boyld & Sanderson, Barnes & Noble (1969).4- Plasma Physics, E.W. Laing, Sussex University Press (1976).

Course title:Advanced Gravitational Physics ICredits: 3Number of Hours: 48

Type of the Course: Optional course

163

Type of the Credits: 3 theoretical creditsPrerequisite: Special Topics in Elementary Particle Physics ISupplementary Experimental Education Required:Yes () – No (×) – Scientific Expedition () – Workshop () – Laboratory () – Seminar ()General Goals of the CourseTo study the geometrical structure of space-time and the general relativity.Contents of the CourseA review of special relativity; Riemannian geometry; Einstein field equations; Newtonian limit; Schwarzschild and Kerr solutions; Classical tests of general relativity; Linearized general relativity; Symmetries of space-time and Killing vectors; Tetrads; Causal relations; Stress-Energy tensor; Hamiltonian formulation.Class Exams and

AttendanceMid-term




Course References1- General Relativity, H.Stephani, CUP (2003).2- Relativity on CurvedManifolds, F. De Felice, and C. J. Clarke, CUP (1990).3- Introducing Einsteins Relativity, R. d Inverno, Clarendon Press (1992).4- Gravitation and Cosmology, S.Weinberg, John Wiley and Sons (1972).5- AFirst Course in GR, B. F. Schutz CUP (1985).6- The Classical Theory of Fields, L. D. Landau and E.M.Lifshitz, Pergamon Press (1975).

164

academics.ut.ac.ir€¦ · Web viewPhysics is one of the fundamental disciplines in natural...

Documents

Transcript of academics.ut.ac.ir€¦ · Web viewPhysics is one of the fundamental disciplines in natural...