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This lecture is primarily intended for the first grade Ph.D. students of the programmes F3 and F13 and it continues
the course NBCM083 Selected Topics on Quantum Theory or other similar courses on more advanced quantum
mechanics and statistical physics. This course extends concepts of quantum equilibrium statistical physics to
interacting systems, introduces corresponding mathematical formalisms (many-body Green functions, linear
response theory, diagrammatic perturbation theory) and demonstrates their usage on generic solid-state
examples (Anderson impurity model etc.).
Last update: Jedelský Petr, Mgr. (20.04.2020)
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Conditions for accomplishing this subject are at least 70% presence at the lectures and exercises (single joint 3-hour block) and successful passing the exam. Last update: Mikšová Kateřina, Mgr. (13.05.2022)
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Henrik Bruus and Karsten Flensberg: Many-Body Quantum Theory in Condensed Matter Physics (An Introduction), Oxford University Press 2004 Last update: Novotný Tomáš, doc. RNDr., Ph.D. (17.02.2020)
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The exam requirements correspond to the syllabus in the extent addressed during the lecture course (usually Chapters 5 to 13 of the book by Bruus and Flenberg). Last update: Novotný Tomáš, doc. RNDr., Ph.D. (21.02.2020)
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Time dependence in quantum theory, in particular interaction/Dirac picture. Linear response theory, Kubo formula. Green functions (real time and imaginary), equation of motion theory, Lehmann representation. Diagrammatic perturbation theory, Feynman diagrams. Application to the Anderson impurity model and electron-phonon scattering. Last update: Novotný Tomáš, doc. RNDr., Ph.D. (17.02.2020)
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