NMAK15003U  Advanced Mathematical Physics (AdvMathPhys)

Volume 2015/2016

MSc programme in Mathematics

  • Selected topics in Quantum Mechanics and Statistical Mechanics. Besides fundamental issues the course will focus on more specialized topics depending on the interests and preferences of the participants. Among these topics may be a selection from the following list: spectral theory for unbounded operators, the Schrödinger equation and Stone's theorem, perturbation theory, scattering theory; thermodynamic limit of statistical mechanical systems, high and low temperature expansions, phase transitions, spontaneous symmetry breaking, Peierls' argument, integrable systems.
Learning Outcome


  • Basic concepts and methods used int the mathematical description of quantum systems and/or statistical mechanics.
  • Explicit mathematical models of concrete physical systems in quantum and/or statstical mechanics



  • To formulate, understand, and analyze mathematical models of physical systems



  • To use advanced mathematical tools to  extract relevant physical information from well-defined models
  • To do explicit calculations within the framework of advanced mathematical models





FunkAn or DifFun
4 hours of lectures and 2 hours of exercises each week for 9 weeks.
7,5 ECTS
Type of assessment
Course participation
One seminar presentation and four written assignements. The student must pass all assignments and the seminar
Marking scale
passed/not passed
Censorship form
No external censorship
One internal examiner

30 minutes oral examination with 30 minutes preparation time. All aids allowed during the preparation time, no aids allowed during the examination. Several internal examiners.

Criteria for exam assesment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

  • Category
  • Hours
  • Lectures
  • 36
  • Exercises
  • 18
  • Seminar
  • 2
  • Preparation
  • 150
  • Total
  • 206