Program Overview

Program Overview

The University of Copenhagen offers a Master's program in Advanced Mathematical Physics (AdvMathPhys), which is part of the MSc Programme in Mathematics and the MSc Programme in Physics.

Program Details

Content

The program covers selected topics in Quantum Mechanics and Statistical Mechanics, including fundamental issues and specialized topics such as 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

The program aims to provide students with:

• Knowledge: Basic concepts and methods used in the mathematical description of quantum systems and/or statistical mechanics, as well as explicit mathematical models of concrete physical systems in quantum and/or statistical mechanics.
• Skills: The ability to use advanced mathematical tools to extract relevant physical information from well-defined models and to perform explicit calculations within the framework of advanced mathematical models.
• Competencies: The ability to formulate, understand, and analyze mathematical models of physical systems.

Recommended Academic Qualifications

Students are recommended to have a background equivalent to a BSc degree, with prior knowledge of quantum mechanics being useful. The program is also accessible to students of physics.

Teaching and Learning Methods

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

Workload

The program has a total workload of 206 hours, broken down into:

• Lectures: 36 hours
• Preparation: 152 hours
• Exercises: 18 hours

Assessment

The program uses continuous assessment, with one seminar presentation and three written assignments. Students must pass all assignments and the seminar, and assignments can be resubmitted once. The marking scale is passed
ot passed, and there is no external censorship.

Re-exam

The re-exam consists of a 30-minute oral examination with 30 minutes of preparation time. All aids are allowed during the preparation time, but no aids are allowed during the examination.

Criteria for Exam Assessment

Students must convincingly and accurately demonstrate the knowledge, skills, and competences described under the 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

Study Board

The program is overseen by the Study Board of Mathematics and Computer Science.

Contracting Department

The program is offered by the Department of Mathematical Sciences.

Contracting Faculty

The program is part of the Faculty of Science.

Course Coordinators

The program has three course coordinators: Jan Philip Solovej, Peter Hearnshaw, and Marvin Raimund Schulz.