Advanced Mathematical Physics (AdvMathPhys)

Course content

  • 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, stability of matter; quantum information theory, many-body systems, and statistical mechanics.

MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
MSc Programme in Physics

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





4 hours of lectures and 2 hours of exercises each week for 9 weeks.

FunkAn or DifFun

Academic qualifications equivalent to a BSc degree is recommended.

Some prior knowledge of quantum mechanics is useful

- no other physics background needed
- accessible also to students of physics

7,5 ECTS
Type of assessment
Continuous assessment
One seminar presentation and three written assignments. The student must pass all assignments and the seminar. Assignments can be resubmitted once.
All aids allowed
Marking scale
passed/not passed
Censorship form
No external censorship
One internal examiner
Criteria for exam assessment

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

Single subject courses (day)

  • Category
  • Hours
  • Lectures
  • 36
  • Preparation
  • 152
  • Exercises
  • 18
  • English
  • 206