Contents.
I. Physical & Mathematical BackgroundII. Quantum Systems with Many Particles
III. Many-Body HamiltoniansIV. Electrostatics in 3DV. Thomas-Fermi theory
VI. Relativistic effectsVII. Stability of "relativistic" matter
VIII. Electrostatic inequality IIIIX. Magnetic fieldsX. Pauli Hamiltonian
XI. Ionization ProblemXII. Stability of gravitating systems
XIII. Existence of thermodynamic limit
Stability of Matter in Quantum MechanicsProf. Robert Seiringer
Lecture notes by A. Tomberg
McGill UniversityFall 2010
Physical & Mathematical BackgroundI.September-07-102:54 PM
Quantum Systems with Many ParticlesII.September-09-102:50 PM
Many-Body HamiltoniansIII.September-20-1012:05 PM
Static Nuclei AnalysisSeptember-20-1012:05 PM
Lieb-Thirring inequalitiesSeptember-20-101:18 PM
Electrostatics in 3DIV.September-21-101:04 PM
Application to the stability of matterOctober-04-101:07 PM
Instability for bosonsOctober-14-103:00 PM
Thomas-Fermi theoryV.October-18-1012:05 PM
Relativistic effectsVI.October-21-102:34 PM
Stability of "relativistic" matterVII.October-25-1012:05 PM
Electrostatic inequality IIIVIII.October-28-102:33 PM
Magnetic fieldsIX.November-01-1012:06 PM
Diamagnetic inequalitiesNovember-01-1012:29 PM
Pauli HamiltonianX.November-04-102:34 PM
Conditions for instabilityNovember-08-101:11 PM
Ionization ProblemXI.November-11-102:35 PM
Stability of gravitating systemsXII.November-15-1012:05 PM
Existence of thermodynamic limitXIII.November-22-1012:04 PM
Intro to quantum statistical mechanicsNovember-22-1012:43 PM