Quantum field-theoretical methods in condensed matter theory
Course: Quantum field theory
Structural unit: Faculty of Physics
Title
Quantum field-theoretical methods in condensed matter theory
Code
ОК 4
Module type
Обов’язкова дисципліна для ОП
Educational cycle
Second
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
1 Semester
Number of ECTS credits allocated
3
Learning outcomes
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.
Form of study
Full-time form
Prerequisites and co-requisites
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.
Course content
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.
Recommended or required reading and other learning resources/tools
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.
Planned learning activities and teaching methods
Lectures, practical classes, independent work.
Assessment methods and criteria
Tests, thematic control of independent work, final test.
Language of instruction
English
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline