Review of Thermodynamics and Basics of Equilibrium Statistical Mechanics
Quantum Mechanics and Second Quantization
Statistical Mechanics of Ideal Gases
Density Matrices
Path Integrals
Bloch–de Dominicis Theorem and Green Functions
Lehmann Representation and Spectral Functions
Landau's Fermi-Liquid Theory
Theory of Superconductivity I
Theory of Superconductivity II
Ginzburg-Landau Theory and Phase Transitions
Gapless quantum spin models and AKLT model
Matrix Product States and Haldane Phase
Projective Representations and Group Cohomology
Lecture notes are written by referring to various sources without mentioning it. Comments are welcome.
Homework
First, you should try to solve problem sets by yourself.
If you cannot solve a problem. the corresponding solution will be sent on request.