The course discusses the quantisation of relativistic fields towards formulating Quantum Electrodynamics. It introduces the notion of scalar, spinor and vector fields and it describes their elementary interactions in terms of correlation functions and scattering amplitudes including radiative corrections.

Introduction to Electrodynamics. Discussion and formulation of Maxwell’s equations in vacuum and with matter. Connection to the special theory of relativity.

Introduction to Electrodynamics. Discussion and formulation of Maxwell’s equations in vacuum and with matter. Connection to the special theory of relativity.

Introduction to the theory of general relativity. The course puts a strong focus on the mathematical foundations of the theory as well as the underlying physical principles and concepts. It covers selected applications, such as the Schwarzschild solution and gravitational waves.

An introduction to the theoretical aspects and experimental tests of QCD, with emphasis on perturbative QCD and related experiments at colliders.

The course discusses modern techniques and applications of relativistic quantum field theory with an emphasis on path integral quantisation of non-abelian gauge theories and spontaneous breaking of symmetries.

General structure of quantum theory: Hilbert spaces, states and observables, equations of motion, Heisenberg uncertainty relation, symmetries, angular momentum addition, EPR paradox, Schrödinger and Heisenberg picture.Applications: simple potentials in wave mechanics, scattering and resonance, harmonic oscillator, hydrogen atom, and perturbation theory.

Many-body quantum physics rests on symmetry considerations that lead to two kinds of particles, fermions and bosons. Formal techniques include Hartree-Fock theory and second-quantization techniques, as well as quantum statistics with ensembles. Few- and many-body systems include atoms, molecules, the Fermi sea, elastic chains, radiation and its interaction with matter, and ideal quantum gases.

This course unit is an alternative if no suitable "Proseminar Theoretical Physics" is available of if the proseminar is already overbooked.

This course unit is an alternative if no suitable "Proseminar Theoretical Physics" is available of if the proseminar is already overbooked.