Course

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

Monte Carlo Methods, Sampling, Markov Chain, Single-Spin-Flip Metropolis Algorithm

Quantum Electrodynamics