The course Introduction to Computer Simulation 1 provides an introduction to simulation methods suitable for studying statistical physics systems with emphasis on the Monte Carlo method. All concepts will be illustrated with simulations of simple spin and polymer models that can be reproduced on any notebook.

Semester: WT 2022/23

Topics:

  • Analytical mechanics - Recap
  • Hamilton's principle
  • Hamilton mechanics
  • Hamilton-Jacoby theory
  • Special relativity
  • Electrodynamics 2


Semester: WT 2022/23

We will come to know different approaches to determine the classical equations of motion of mechanical systems, and to discuss the features of the solutions of these equations. The following topics will be covered

Mathematical Methods.     Vectors, coordinates, complex numbers, equations of motion, conservation laws
basics of variational calculus, solutions of differential equations
Newtonian mechanics. axioms, Galileo-transformations, phase space
Lagrange mechanics. derivation, equations of motion
Model systems. motion of planets and asteroids: Kepler problem
solid bodies: center of mass, rotation, reflection

Semester: WT 2022/23

Grundlagen der Lagrangeschen und Hamiltonschen Mechanik, Symmetrien und Erhaltungsgrößen, Potentiale und Felder bewegter Ladungen, Eichsymmetrie, elektromagnetische Wellen, Schwarzkörperstrahlung, statistische Methoden, statistische Grundlagen der atomistischen Physik, Relativitätsprinzip

Semester: WT 2022/23

This is a first course in quantum field theory in curved spacetime. The course introduces the basic concepts pertaining to curved spacetimes including standard examples such as cosmological spacetimes or black holes. After introducing classical fields on curved spacetimes and analyzing basic features of the corresponding wave equations and the connection with the Hamiltonian formalism, we develop several viewpoints on their quantization. Finally, we discuss key physical effects such as particle creation in a gravitational field, the Unruh/Hawking effects, or the laws of black hole mechanics. 

This course is mainly intended for students at the master level. 

Semester: WT 2022/23

This course Mathematical Physics is jointly taught by Prof. Dejan Gajic (ITP) and Prof. Matthias Schwarz (MI).

It is the first and compulsory course in the International Master Program Mathematical Physics and comprises formally the modules 12-PHY-MPMP1 and 12-PHY-MPMP2, each 10 credit points.  These two modules have to be taken consecutively within the Wintersemester, MP1 in the first and MP2 in the second half.


Semester: WT 2022/23