Fachbereich Mathematik

Mathematical Statistical Physics

  • Registration: Please register for the exercises on URM by Thursday April 17, 2025, at 11:59am.
  • First lecture: Monday April 14, 2025, at 10:15am.
  • First exercise: Friday April 25, 2025, at 2:15pm.
  • Language: English
  • Course format: 4 hours of lectures + 2 hours of exercises per week.
  • Studiengänge: This course is primarily intended for the master's program in mathematical physics but is open to all study programs.
  • ECTS: 9 credits (or optionally 6 credits without the exam; but not all programs allow you to take a course without an exam; please check the rules of your program)
  • Topics: Statistical reasoning and its justification in classical and quantum mechanics. In particular, Liouville's theorem; Poincaré recurrence; typicality of the Maxwell-Boltzmann distribution; concepts of macro state, macro variable, thermal equilibrium, and entropy; Boltzmann equation; arrow of time; macro spaces in quantum mechanics; canonical typicality; ideal quantum gases.
  • Prerequisites: multivariable calculus, linear algebra, probability; the second half will make use of quantum mechanics
  • Literature: The instructor will provide his lecture notes. (Notes from 2019)