| Individual course details | ||||||||||
| Study programme | Master Studies in Physics | |||||||||
| Chosen research area (module) | Theoretical and Experimental Physics | |||||||||
| Nature and level of studies | Graduate Academic Studies | |||||||||
| Name of the course | Quantum Many-Body Theory | |||||||||
| Professor (lectures) | Mihajlo Vanevic | |||||||||
| Professor/associate (examples/practical) | Mihajlo Vanevic | |||||||||
| Professor/associate (additional) | Mihajlo Vanevic | |||||||||
| ECTS | 10 | Status (required/elective) | optional | |||||||
| Access requirements | Condensed Matter Physics B / Theory of Condensed Matter | |||||||||
| Aims of the course | Introduction to Feynman diagrams in solid state physics. | |||||||||
| Learning outcomes | Qualifying for the scientific research. | |||||||||
| Contents of the course | ||||||||||
| Lectures | Introduction to quantum many-body theory. Quantum field theory at T=0: interaction picture, Green's functions, Feynman diagrams. Dyson equations. Matsubara diagrammatic techniques at finite temperatures. Hartree-Fock approximation and RPA in diagrammatic technique. Fermi liquids in normal and superconducting phases, plasma oscillations, electron-phonon interaction in metals (Migdal theorem) | |||||||||
| Examples/ practical classes | ||||||||||
| Recommended books | ||||||||||
| 1 | A. Abrikosov, L. Gorkov, and I. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover Publ. 1975) | |||||||||
| 2 | E. M. Lifshitz & L. P. Pitaevskii, Statistical Physics, Part 2: Vol. 9 (Butterworth-Heinemann, 1980). | |||||||||
| 3 | R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem (Dover Publ. 1992.) | |||||||||
| 4 | ||||||||||
| 5 | ||||||||||
| Number of classes (weekly) | ||||||||||
| Lectures | Examples&practicals | Student project | Additional | |||||||
| 2 | 2 | 1 | ||||||||
| Teaching and learning methods | Lectures and tutorials, problem solving, seminar. | |||||||||
| Assessment (maximal 100) | ||||||||||
| assesed coursework | mark | examination | mark | |||||||
| coursework | 10 | written examination | 40 | |||||||
| practicals | oral examination | 40 | ||||||||
| papers | ||||||||||
| presentations | 10 | |||||||||