NMAK15003U Advanced Mathematical Physics (AdvMathPhys)
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
MSc Programme in Physics
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.
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
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
Competencies:
- To formulate, understand, and analyze mathematical models of physical systems
Academic qualifications equivalent to a BSc degree is recommended.
Some prior knowledge of quantum mechanics is useful
- 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.
Course information
- Language
- English
- Course code
- NMAK15003U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 4
- Schedule
- C
- Course capacity
- No limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinators
- Jan Philip Solovej (solovej@math.ku.dk)
- Peter Hearnshaw (ph@math.ku.dk)
- Marco Olivieri (mo@math.ku.dk)