Course

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

First quantization for many-particle systems, Slater determinants and permanents

Path integral for a non-relativistic particle, Euclidean time