Statistical Physics 219. Spring 2019.
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