Course

Perturbation theory for nearly-free electrons, Peierl's theorem, electron-electron interactions, jellium model

Cancelation of vacuum diagrams, Structure of perturbation theory

First Brillouin zone, tight-binding model, nearly-free electrons

Wick's Theorem, Quantization of φ4 theory, Feynman diagrams

Bravais lattices, reciprocal lattices, electrons in a periodic potential, Bloch's theorem

Propagator of the free scalar field, Correlation functions

Fock space, creation and annihilation operators, one- and two-particle operators in second quantization

Operators and correlation functions in the path integral formalism, Thermal expectation values, Free scalar field