Week 1: Review quantum mechanics, second quantization, and fermion/boson algebra. Week 2: Study zero-temperature Green's functions and spectral representations. Week 3: Matsubara formalism and finite-temperature Green's functions. Week 4: Diagrammatic perturbation theory; learn Feynman rules and simple one-loop diagrams. Week 5: Dyson equation, self-energy approximations (Hartree, Fock, GW). Week 6: Linear response theory, Kubo formula, and RPA. Week 7: Quasiparticles, Landau parameters, and transport basics. Week 8: Pairing and superconductivity; work through BCS from Green's-function perspective.
Fetter and Walecka apply these tools to diverse physical systems: Week 1: Review quantum mechanics, second quantization, and
Summing infinite series of interactions. Week 1: Review quantum mechanics
The end-of-chapter problems are legendary for transforming theoretical knowledge into practical calculational skills. How to Study This Material Effectively self-energy approximations (Hartree