Individual course details
Study programme PhD studies in physics
Chosen research area (module) Condensed matter physics and statistical physics
Nature and level of studies Academic studies of third degree
Name of the course Quantum field theory methods in condensed matter physics
Professor (lectures) Zoran Radovic 
Professor/associate (examples/practical) Zoran Radovic / Mihajlo Vanevic
Professor/associate (additional) Zoran Radovic / Mihajlo Vanevic
ECTS 15 Status (required/elective) optional
Access requirements Quantum Statistical Physics, Solid State Physics
Aims of the course Introduction to the Feynman diagram technique in quantum nonrelativistic theory of many-body systems.
Learning outcomes Qualifying for the scientific research.
Contents of the course
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). 
Examples/ practical classes  
Recommended books
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)
2 R.D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem (Dover Publ. 1992.)
3 A. Abrikosov, L. Gorkov, and I. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover Publ. 1975)
4  
5  
Number of classes (weekly)
Lectures Examples&practicals   Student project Additional
2   2 1  
Teaching and learning methods lectures and tutorials, problems, seminar
Assessment (maximal 100)
assesed coursework mark examination mark
coursework 10 written examination  
practicals   oral examination 50
papers      
presentations 40