STATISTICAL PHYSICS
cod. 16658

Academic year 2011/12
1° 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
72 hours
of face-to-face activities
9 credits
hub: PARMA
course unit
in - - -

Learning objectives

Understanding the bases of quantum statistical mechanics and some important applications.

Prerequisites

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Course unit content

Main results in classical statistical mechanics.

Mixed states in quantum statistical mechanics, density operator, statistical entropy.
Fundamental principle of statistical mechanics, quantum ensembles (microcanonical, canonical, T-P, gran-canonical). Paramagnets, molecular vibro-rotations, specific heat of solids.

Identical particles, Fock spoace, second quantization, photons, ideal quantum gases, Hubbard model, spin-waves.

Fluctuations. Phase transitions. Mean-field approximation. MonteCarlo method.

Computer simulations (Matlab): Heisenberg model in canonical ensemble. MonteCarlo method for the 2d Ising model. Exact-diagonalization study of the Hubbard model.

Full programme

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Bibliography

Lecture notes.

Huang - Statistical Mechanics

Yeomans - Statistical Mechanics of Phase Transitions

Bruus and Flensberg - Introduction to Quantum field theory in condensed matter physics

Teaching methods

Lectures and computer simulations.

Assessment methods and criteria

Oral examination

Other information

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