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Università degli Studi di Parma Università degli Studi di Parma
Second cycle degree course in
Physics
Università degli Studi di Parma
Department of Mathematical, Physical and Computer Sciences

STATISTICAL PHYSICS
cod. 16658

Academic year 2014/15
1° year of course - First semester
Professor
Paolo SANTINI
Academic discipline
Fisica della materia (FIS/03)
Field
Microfisico e della struttura della materia
Type of training activity
Characterising
78 hours
of face-to-face activities
9 credits
hub: PARMA
course unit
in - - -
lectures timetable unavailable
exam calls
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Learning objectives

Understanding the bases of quantum statistical mechanics and learning some important applications.
Learning to use the second quantization formalism for many body systems.

Prerequisites

Basic knowledge of quantum mechanics and classical statistical mechanics

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

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.

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. The student can also expose a topic of his choice. This can be a topic treated in the course or in a closely related field.

Other information

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2030 agenda goals for sustainable development

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Contacts

Toll-free number

800 904 084

Student registry office

Tel. +39 0521 905116
E-mail segsmfn@unipr
 

Quality assurance office

Education manager:
Dr. Marco Squarcia
Tel. +39 0521 906094
Office E-mail segreteria.smfi@unipr
Manager E-mail marco.squarcia@unipr.it

 

President of the degree course

Prof. Luigi Cristofolini
E-mail: luigi.cristofolini@unipr.it

Deputy President of the degree course

Prof. Eugenia Polverini
E-mail eugenia.polverini@unipr.it


Faculty advisor

Prof. Danilo Bersani
E-mail danilo.bersani@unipr.it

Prof.ssa Antonella Parisini
E-mail: antonella.parisini@unipr.it 

Prof. Francesco Cugini
E-mail: francesco.cugini@unipr.it 

Career guidance delegate

Prof. Alessio Bosio
E-mail alessio.bosio@unipr.it

Tutor Professors

Prof. Marisa Bonini
E-mail marisa.bonini@unipr.it

Prof. Stefano Carretta
E-mail stefano.carretta@unipr.it

Prof. Eugenia Polverini
E-mail eugenia.polverini@unipr.it

Prof. Cristiano Viappiani
E-mail cristiano.viappiani@unipr.it

 

Erasmus delegates

Prof. Bersani Danilo 
E-mail: bersani.danilo@unipr.it

Prof. Guido D'Amico
E-mail:guido.damico@unipr.it

Quality assurance manager

Prof. Paolo Santini 
E-mail: paolo.santini@unipr.it 

Tutor students

Dott. Alessandro Testa
E-mail: alessandro.testa@unipr.it

Contact person for students of vulnerable groups

Prof. Andrea Baraldi Tel: 0521.905234
E-mail: andrea.baraldi@unipr.it