(52524) Integrated Course II: Statistical and Solid State Physics


Winter term 2019-2020

Prof. Dr. F. Evers,
Dr. Daniel Hernangómez Pérez, Dr. Jan Wilhelm

Lectures (4 SWS)

Monday, 10:15 – 11:45, Room: PHY 9.2.01
Friday, 10:15 – 11:45, Room: PHY 9.1.10

Exercises (2 SWS)

Tuesday, 15:15 – 16:45, Room: 2.1.29


Friday, February 14th, 9:00 – 11:00, Room: 9.2.01

Bose-Einstein condensate


Exercise Sessions

General Rules

Problem solving is crucial to really understand the material taught in the lectures. Therefore, you are encouraged to try to solve the exercises by yourselves. In order to motivate you to do so, the following rules apply:

  • As a general rule, each week there will be an exercise sheet.
  • At the beginning of each exercise session, you check in the list which problems are you prepared to present on the blackboard.
    Based on that list, one student will be randomly selected to present her/his solution.
  • In order to participate in the final exam, you have to check at least 50% of the total points over the course of the semester.

Exercise Sheets



1. Introduction
2. Basic concepts of statistics
3. Physical input into statistical theory
4. Microcanonical ensemble
5. Canonical ensemble
6. Grand Canonical ensembles
7. Thermodynamic averages
8. Entropy and probability
9. Thermodynamic state variables
10. Thermal fluctuations
11. The first and second law of thermodynamics
12. Thermodynamic relations
13. Inhomogeneous systems
14. Interlude: Systems of identical particles
15. Quantum gases: fermions
16. Quantum gases: bosons
17. Spin systems and magnetic phase transitions
18. Virial expansion for diluted systems
19. Liquid-vapor phase transition in van-der-Waals gases
20. Phase transitions and critical phenomena
21. Non-equilibrium dynamics: Boltzmann equation


Main texts

  1. Statistische Theorie der Wärme: Gleichgewichtsphänomene,
    W. Brenig, Springer (1992). 
  2. Statistische Mechanik,
    F. Schwabl, Springer (2006). 
  3. Fundamentals of statistical and thermal physics,
    F. Reif, Mc-Graw Hill (1965). 
  4. Statistical Physics,
    L. D. Landau and E. M. Lifshitz, Pergamon Press (1976). 


Last modified: 19th May, 2020 by Jan Wilhelm