General information
Important formulas
Statement on diversity and inclusion

Notes

Introduction
Basics of probability theory
Phase space. Distribution function
Concept of thermalisation. Liouville's theorem.
Classical ideal gas
Reminder 1: Gibbs distribution
Mapping between classical and quantum
Reminder 2: Thermodynamic potentials
Non-ideal gases. Van der Waals equation
Liquid-gas phase transition
Spontaneous symmetry breaking
Landau theory of second order phase transitions
Ising and Heisenberg models
Mean-field theory
1D Ising model and the method of transfer matrices
Superconductivity. Phenomenology and thermodynamics
Superfluidity. Liquid helium
Second quantisation I
Second quantisation II
Jordan-Wigner transformation
Holstein-Primakoff transformation. Spin waves
Remark on itinerant vs localised magnetism
Fermi liquid theory
BCS microscopic theory of superconductivity
Landau levels
Landau diamagnetism
Pauli paramagnetism
Parity effects in superconductors