STATISTICAL PHYSICS II
Learning outcomes of the course unit
The purpose of the course is to provide basic concepts of quantum statistical mechanics of many-body systems.
Quantum mechanics, quantum statistical mechanics.
Course contents summary
Basic statistical mechanics, density matrix, entropy, ensambles, Wigner function. Identical particles, second quantization, phonons, Hubbard model, spin models. Reduced 1- and 2-body density matrices, correlations in free Fermi and Bose gases. Electron gas, Hartree-Fock method, plasma oscillations. Green functions, equations of motion, perturbation theory, Feynman diagrams.
Computer simulation : exact solution of Heisenberg and/or Hubbard models on clusters, calculation of correlation functions and of thermodynamic observables.
A: Messiah : Quantum mechanics.
A. Fetter and J. Walecka : Quantum theory of many-particle systems.
G. D. Mahan : Many-particle physics.
G. Rickayzen : Green's functions and condensed matter.
D.C. Mattis : The theory of magnetism.