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Course, academic year 2019/2020
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Condensed Matter Theory II - NFPL109
Title in English: Teorie kondenzovaného stavu II
Guaranteed by: Institute of Physics of Charles University (32-FUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2013
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: prof. Pavel Lipavský, CSc.
Classification: Physics > Solid State Physics
Co-requisite : NFPL108
Annotation -
Last update: T_FUUK (24.05.2004)
Quantum-statistical theory of non-equilibrium properties of crystals.
Aim of the course -
Last update: LIPAVSKY/MFF.CUNI.CZ (15.05.2008)

advanced theory of transport in Fermi systems

Literature - Czech
Last update: LIPAVSKY/MFF.CUNI.CZ (15.05.2008)

A. A. Abrokosov, L. P. Gorkov, I. E. Dzyaloshinski: Methods of Quantum Field Theory in Statistical Physics, 1975.

L. P. Kadanoff, G. Baym: Quantum Statistical Mechanins, 1962.

Teaching methods -
Last update: LIPAVSKY/MFF.CUNI.CZ (15.05.2008)

chalk talks

Requirements to the exam - Czech
Last update: LIPAVSKY/MFF.CUNI.CZ (15.05.2008)

zkouška

Syllabus -
Last update: T_FUUK (13.04.2005)

Lectures deal with the Fermi liquid of electrons in crystals. First we return to

the classical Boltzmann equation which we use to introduce the interplay of

the free drift and collisions of particles. We demonstrate the implentation of the

theory on the proof of the entropy production by collisions. Moreover, we

evaluate the pressure and share viscosity in gasses.

Second, we extend the Boltzmann equation to cover the plasma adding the

Lorentz force from a mean electromagnetic field. We derive the classical

linear response and discuss non-trivial aspects of the interaction of wave with

particles in the regime of the two-stream instability. Our phenomenologic

presentation of the idea of the mean field is closed by the Landau concept of

quasiparticles.

In the course of quantum generalization we first employ the Fermi Golden rule

and Pauli exclussion principle in collisions. The quantum treatment of the drift

requires to leave the Boltzmann distribution and handle the reduced density

matrix instead. In this framework we derive the linear response and show that

quantum systems reveal a classically prohibited feature ? at certain distances

the repulsive Coulomb forces become attractive. This explains stability of

metalic crystals.

Systematic approach to non-equlibrium many-body systems we base on the

method of non-equilibrium Greens functions. We first develop Greens

functions for the ground state for which we introduce the Feynman

diagrammatic approach. Derived rules apply also at finite temperatures and for

non-equilibrium systems. We interlink these cases with the help of the

complex time path. From equations for the Green function we recover the

Boltzmann equation with all the above mentioned improovements.

Entry requirements -
Last update: LIPAVSKY/MFF.CUNI.CZ (15.05.2008)

quantum mechanics, basics of the quantum statistics

 
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