NMAK15003U Advanced Mathematical Physics (AdvMathPhys)

Volume 2023/2024
Education

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

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.
Learning Outcome
 

Knowledge:

  • 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

 

Competencies

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

 

Skills:

  • 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

Academic qualifications equivalent to a BSc degree is recommended.

Some prior knowledge of quantum mechanics is useful
4 hours of lectures and 2 hours of exercises each week for 9 weeks.
- no other physics background needed
- accessible also to students of physics
  • Category
  • Hours
  • Lectures
  • 36
  • Preparation
  • 152
  • Exercises
  • 18
  • Total
  • 206
Credit
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.
Aid
All aids allowed
Marking scale
passed/not passed
Censorship form
No external censorship
One internal examiner
Re-exam

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