Statistical Mechanics II, Fall 2025

Lecture 1 Review of Thermodynamics and Basics of Equilibrium Statistical Mechanics

Lecture 2 Quantum Mechanics and Second Quantization

Lecture 3 Statistical Mechanics of Ideal Gases

Lecture 4 Density Matrices

Lecture 5 Path Integrals

Lecture 6 Bloch–de Dominicis Theorem and Green Functions

Lecture 7 Lehmann Representation and Spectral Functions

Lecture 8 Landau's Fermi-Liquid Theory

Lecture 9 Theory of Superconductivity I

Lecture 10 Theory of Superconductivity II

Lecture 11 Ginzburg–Landau Theory and Phase Transitions

Lecture 12 Gapless Quantum Spin Models and AKLT Model

Lecture 13 Matrix Product States and Haldane Phase

Lecture 14 Projective Representations and Group Cohomology

Lecture notes are written by referring to various sources without mentioning them. Comments are welcome.

Syllabus