| 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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