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



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

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
Type of assessment details
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

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 assessment

The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.

Single subject courses (day)

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


Course number
7,5 ECTS
Programme level
Full Degree Master

1 block

Block 4
No limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
Study Board of Mathematics and Computer Science
Contracting department
  • Department of Mathematical Sciences
Contracting faculty
  • Faculty of Science
Course Coordinator
  • Jan Philip Solovej   (7-7b7774777e6d724875697c7036737d366c73)
Saved on the 16-02-2024

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Courseinformation of students