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.

Education

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

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

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

Teaching and learning methods

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

Recommended prerequisites

FunkAn or DifFun

Academic qualifications equivalent to a BSc degree is recommended.

Some prior knowledge of quantum mechanics is useful

Remarks

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

Feedback form

Oral

Exam

ECTS: 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

Criteria for exam assessment

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

Course type

Single subject courses (day)

Workload

Category
Hours
Lectures
36
Preparation
152
Exercises
18
English
206

Kursusinformation

Language: English
Course number: NMAK15003U
ECTS: 7,5 ECTS
Programme level: Full Degree Master
Duration: 1 block
Placement: Block 4
Schedulegroup: C
Capacity: No limit
The number of seats may be reduced in the late registration period
Studyboard: Study Board of Mathematics and Computer Science

Contracting department

Department of Mathematical Sciences

Contracting faculty

Faculty of Science

Course Coordinator

Jan Philip Solovej (7-797572757c6b704673677a6e34717b346a71)

Saved on the 28-02-2023

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