Course

Structure of perturbation theory, Generating functionals

Density functional theory

UV divergence of the two-point function, Wick's Theorem, Perturbation theory, Feynman diagrams

Tight-binding models, Density of States

Propagator of the free scalar field, Wick rotations

Numerical Band Structure Calculations, Weak Potentials

Semiclassical approximation, Momentum operator in the path integral formalism, Functional integral for the Klein-Gordon field

Bravais lattices, Reciprocal Lattice, Brillouin Zones, Bloch states, Kronig-Penney model

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

Bravais lattices, Reciprocal Lattice, Brillouin Zones, Bloch states, Kronig-Penney model

Path integral for a non-relativistic particle, Euclidean time formalism