STATISTICAL PHYSICS II
cod. 18508

Academic year 2009/10
2° year of course - First semester
Professor
Academic discipline
Fisica della materia (FIS/03)
Field
Microfisico e della struttura della materia
Type of training activity
Characterising
40 hours
of face-to-face activities
5 credits
hub:
course unit
in - - -

Learning objectives

<br />The purpose of the course is to provide basic concepts of quantum statistical mechanics of many-body systems.

Prerequisites

Quantum mechanics, quantum statistical mechanics. 

Course unit content

<br />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.<br />Computer simulation : exact solution of Heisenberg and/or Hubbard models on clusters, calculation of correlation functions and of thermodynamic observables.

Full programme

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Bibliography

A: Messiah : Quantum mechanics.<br />A. Fetter and J. Walecka : Quantum theory of many-particle systems.<br />G. D. Mahan : Many-particle physics.<br />G. Rickayzen : Green's functions and condensed matter.<br />D.C. Mattis : The theory of magnetism.

Teaching methods

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Assessment methods and criteria

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Other information

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