Individual
course details |
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Study programme |
PhD studies in physics |
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Chosen research
area (module) |
Condensed matter physics
and statistical physics |
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Nature and level of studies |
Academic studies of third
degree |
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Name of the course |
Quantum field theory
methods in condensed matter physics |
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Professor
(lectures) |
Zoran Radovic |
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Professor/associate
(examples/practical) |
Zoran Radovic / Mihajlo
Vanevic |
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Professor/associate
(additional) |
Zoran Radovic / Mihajlo
Vanevic |
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ECTS |
15 |
Status
(required/elective) |
optional |
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Access requirements |
Quantum Statistical
Physics, Solid State Physics |
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Aims of the course |
Introduction
to the Feynman diagram technique in quantum nonrelativistic theory of
many-body systems. |
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Learning outcomes |
Qualifying
for the scientific research. |
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Contents of the course |
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Lectures |
Introduction
to the quantum many-body theory. Quantum field theory methods at zero
temperature: interaction picture,
Green's functions, Feynman diagrams. Dyson equations. Matsubara Green's
functions at finite temperatures. Hartree-Fock and Random Phase Approximation
(RPA). Examples: Fermi liquids in the normal and superconducting states,
plasma oscillations, and electron-phonon interaction in metals (Migdal's
theorem). |
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Examples/ practical classes |
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Recommended books |
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1 |
EM
Lifshitz, LP Pitaevskii: Statistical Physics II, in Course in Theoretical
Physics, Vol. 9, ed. by LD Landau, EM Lifshitz (Pergamon Press, Oxford 1981) |
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2 |
R.D.
Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem (Dover Publ.
1992.) |
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3 |
A.
Abrikosov, L. Gorkov, and I. Dzyaloshinski, Methods of Quantum Field Theory
in Statistical Physics (Dover Publ. 1975) |
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4 |
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5 |
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Number of classes
(weekly) |
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Lectures |
Examples&practicals |
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Student
project |
Additional |
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2 |
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2 |
1 |
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Teaching and learning methods |
lectures
and tutorials, problems, seminar |
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Assessment (maximal
100) |
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assesed coursework |
mark |
examination |
mark |
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coursework |
10 |
written examination |
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practicals |
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oral examination |
50 |
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papers |
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presentations |
40 |
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