Topics in Quantum Many Body Theory
Informacje ogólne
Kod przedmiotu: | 1100-4TQT |
Kod Erasmus / ISCED: | (brak danych) / (brak danych) |
Nazwa przedmiotu: | Topics in Quantum Many Body Theory |
Jednostka: | Wydział Fizyki |
Grupy: |
Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics" Physics (Studies in English); 2nd cycle |
Punkty ECTS i inne: |
6.00
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Język prowadzenia: | angielski |
Założenia (opisowo): | Knowledge of classical mechanics, quantum mechanics (including the formalism of second quantization), electrodynamics, statistical physics and thermodynamics, complex variable calculus, differential and integral calculus, matrix calculus, Fourier transforms. |
Tryb prowadzenia: | mieszany: w sali i zdalnie |
Skrócony opis: |
The course introduces the modern theoretical tools to address non relativistic quantum many body problems including the functional integrals, Green's functions, perturbation theory, diagrammatic techniques; together with a variety of applications. |
Pełny opis: |
1. Coherent states, functional integrals for the quantum many-body problem. 2. Generating functionals, perturbation theory (at T=0 and T>0), Wick theorem, Feynman diagrams. 3. Green’s functions: analytical properties, Dyson equation, sum rules. 4. Correlated electrons on lattices: Hubbard model, t-J model, Single impurity Anderson model, Kondo model. 5. Mean-field solutions of the Hubbard model, magnetic phase diagram. Metal-insulator transition. 6. Kondo problem. 7. Dynamical mean-field theory. |
Literatura: |
- H. Bruus, K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics - A. Altland, B. Simons, Condensed Matter Field Theory - J.W. Negele, H. Orland, Quantum many-paricle systems - R.D. Mattuck, A guide to Feynman diagrams in the many-body problemsb - A.A Abrikosov, L..P. Gorkov, I.E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics - W. Nolting, Fundamentals of Many-Body Physics - R. A. Jishi, Feynman Diagram Techniques in Condensed Matter Physics - E. Fradkin, Field Theories of Condensed Matter Physics - N. Nagaosa, Quantum Field Theory in Strongly Correlated Electronic Systems |
Efekty uczenia się: |
Knowledge: - familiarity with the basic theoretical methods to address different aspects of quantum many-body problems. - knowledge of the basic physical properties of the standard many-body systems of bosons, fermions, and spins. Skills: - solving problems of nonrelativistic quantum mechanics of many-body systems - description of physical phenomena in terms of simple mathematical models and correlation functions. |
Metody i kryteria oceniania: |
Oral exam. |
Zajęcia w cyklu "Semestr letni 2023/24" (zakończony)
Okres: | 2024-02-19 - 2024-06-16 |
Przejdź do planu
PN WT CW
ŚR CZ WYK
PT |
Typ zajęć: |
Ćwiczenia, 30 godzin
Wykład, 30 godzin
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Koordynatorzy: | Witold Bardyszewski | |
Prowadzący grup: | Witold Bardyszewski | |
Lista studentów: | (nie masz dostępu) | |
Zaliczenie: | Egzamin |
Właścicielem praw autorskich jest Uniwersytet Warszawski, Wydział Fizyki.