Infopaket

Quantum field-theoretical methods in condensed matter theory

ОК 4

Обов’язкова дисципліна для ОП

Second

2021/2022

1 Semester

3

1. Know the basic concepts of the theory of solids and quantum liquids, superfluidity and superconductivity. 2. Know the basic properties of Matsubari's formalism for Green's functions at finite temperature. 3. Know the basic principles of charting techniques for Green's functions of Fermi systems. 4. Be able to calculate single-loop diagrams of the Dyson series for Green's functions in theory with the interaction of electrons with longitudinal acoustic phonons. 5. Be able to solve practical problems in quantum physics of many particles and the theory of superconductivity. 6. Be able to analyze the basic properties of Green's functions of macroscopic systems.

Full-time form

1. Know the basic principles of quantum mechanics, electrodynamics and statistical physics. 2. Be able to solve problems on the methods of quantum field theory in condensed matter systems, plan your own work and evaluate its results and consequences. 3. Have the skills to search for and study specialized literature, solve algebraic, differential and integral equations, construction and analysis of graphical dependencies.

Topic 1. Green's function of the macroscopic system. Topic 2. Diagram technique for farm systems. Topic 3. Green's functions at finite temperature. Topic 4. Quantum Bose fluid, superfluidity. Topic 5. Degenerate almost perfect Bose gas. Topic 6. Ginzburg-Landau equation. Topic 7 Cooper pairs. BCS theory.

1. Altland A., Simons B. Condensed Matter Field Theory. New York: CAMBRIDGE UNIVERSITY PRESS, 2006. 2. Landau L.D., Lifshitz E.M. Course of Theoretical Physics. V.9. Statistical physics. Part 2. – 1st ed. Oxford: PERGAMON PRESS, 1980. 3. Abrikosov A.A., Gor`kov L.P., Dzyaloshynskii I.Ye., Quantum field methods in statistical physics. Oxford: PERGAMON PRESS, 1965. 4. Schrieffer R.J. Theory of superconductivity. Boulder: WESTVIEW PRESS, 1999. 5. Tinkham М. Introduction to superconductivity. New York: McGRAW-HILL. 1996. 6. Mahan G.D. Many-Particle Physics. New York: PLENUM PRESS, 1990.

Lectures, practical classes, independent work.

Tests, thematic control of independent work, final test.

English