Second quantization: Fock space representation, creation and annihilation operators for bosons and fermions, representation of many-body operators. Green's functions at zero temperature: Interaction representation, Wick's theorem, Feynman diagrams. Finite temperatures: Matsubara functions, retarded and advanced Green's functions. Linear response, Kubo formula. Interacting fermions: Fermi liquid theory, Hubbard model, Heisenberg model. Electron-Phonon interaction, BCS theory of superconductivity

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