Contents according to the Module Catalogue (version 2015):

  1. Fundamentals of Statistics: Elements of Statistics (Central Limit Theorem and Statistics of extremes); Micro-and macro-states; Probability space (conditional probability, statistical independence);
  2. Statistical Physics: Entropy and probability theory; Entropy in classical physics; Thermodynamic Equilibrium in closed and open systems (with energy and / or particle exchange)
  3. Ideal Systems: Spin systems; Linear oscillators; Ideal Gas
  4. Statistical Physics and Thermodynamics: The 1st law; Quasi-static processes; Entropy and temperature; Generalized forces; The second and 3. law; Reversibility; Transition from statistical physics to thermodynamics
  5. Thermodynamics: Thermodynamic fundamentals relationship; Thermodynamic potentials; Changes of state; Thermodynamic machines (Carnot engine and efficiency); Chemical potential
  6. Ideal Systems II, quantum statistics: Systems of identical particles; Fermi gas; Ideal Bose gas and Bose-Einstein condensation; Grids and normal vibrations: phonons
  7. Systems of interacting particles: Approximation methods (mean-field theory, Sommerfeld expansion); Computer simulation (Monte Carlo method); Interactive phonons (Debye approximation); Ising models (particularities in 1 and 2 dimensions); Yang-Lee-theorems; Van der Waals equation for real interacting gases
  8. Critical Phenomena: Scaling laws, critical slowing down, fast variable as Bad (electron-phonon interaction and BCS superconductivity); Magnetism (Quantum criticality at low temperatures, Quantum phase transitions at T = 0); Problems of the thermodynamic limit
Intended learning outcomes:
The students have in-depth knowledge of the methods of theoretical physics. They have mastered the basics of  thermodynamics and statistical mechanics. They can use the acquired theoretical concepts
and fit into larger physical context and discuss.