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