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Strongly interacting particles, lattice models, electron-electron and electron-phonon interaction. Self-consistent approximations for strongly correlated electrons: functional integral and saddle-point method, static approximation, the mean-field method and the limit of large dimensions. Quantum dynamical phenomena: Kondo effect and the formation of local magnetic moments, theory of magnetism in transition metals. Microscopic theory of superconductivity. Exactly solvable models - Bethe ansatz for correlated electrons. The course follows TMF031.
Last update: T_UTF (25.04.2003)
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Oral exam Last update: Houfek Karel, doc. RNDr., Ph.D. (12.05.2023)
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G. Rickayzen: Green's Functions and Condensed Matter, Academic Press, London 1984.
G. D. Mahan: Many-Particle Physics, Plenum Press, New York 1990.
J. W. Negele, H. Orland: Quantum Many-Particle Physics, Addison-Wesley Publishing House, Redwood City, 1988.
A. M. Zagoskin: Quantum Theory of Many-Body Theory Applied to Solid-State Physics, World Scientific, Singapore 1992.
W. Nolting: Viel-Teilchen Theorie, Springer-Verlag, Berlin 2015. Last update: Houfek Karel, doc. RNDr., Ph.D. (12.05.2023)
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The exam is oral. Each student is given three questions, one of which is practical to demonstrate mastery of the learned formalism. The exam requirements are in the syllabus, limited to the material actually covered in the course. To pass the exam, you need to pass the practical question and at least one theoretical question. Last update: Houfek Karel, doc. RNDr., Ph.D. (12.05.2023)
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Simple approximations of correlated electron systems, Hartree-Fock approximation, T-Matrix, Random Phase approximation, Schwinger-Dyson and Bethe-Salpeter equations, Ward identities, parquet equations.
Linear-response theory, Kuba formula, Kramers-Kronig relations and dissipation-fluctuation theorem; electrical conductivity.
Landau theory of Fermi liquid; quasi-particles and their interaction, normal Fermi liquid, equilibrium and non-equilibrium properties; microscopic motivation, Landau parameters.
Theory of superconductivity; electron-phonon interaction and Cooper instability, BCS theory of superconductivity, Nambu formalism, ordering parameter and thermodynamics of superconductors; electron tunneling and Josephson's phenomenon.
Last update: Janiš Václav, prof. RNDr., DrSc. (11.10.2017)
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