Syllabus
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
Text Books
1. A. Altland and B. Simmons, Condensed Matter Field Theory.
2. G. D. Mahan, Many-Particle Physics.
3. J. W. Negele and H. Orland, Quantum Many-Particle Systems
References
Information Not Available