Mathematical Methods of Physics MN2
Syllabus, Master's level, 1TF355
This course has been discontinued.
- Code
- 1TF355
- Education cycle
- Second cycle
- Main field(s) of study and in-depth level
- Physics A1N
- Grading system
- Pass with distinction (5), Pass with credit (4), Pass (3), Fail (U)
- Finalised by
- The Faculty Board of Science and Technology, 15 March 2007
- Responsible department
- Department of Physics and Astronomy
Entry requirements
Bachelor's degree with Mathematical Methods of Physics NV1
Learning outcomes
Every year this course features one of the advanced topics in Mathematical Physics.
Content
Every year this course features one of the advanced topics in Mathematical Physics. Examples of such topics are:
1) Introduction into Group Theory: Discrete groups; example Z2, Lie groups; example SU(2). Group actions, representations, example: representations of Z2, parity. Representations of SU(2), angular momentum in Quantum Mechanics, selection rules. Quantum groups, example SUq(2), quantum symmetry of the Heisenberg xxz spin chain. 2) Exact stationary phase method: Differential forms, integration, Stokes' theorem. Residue formula in the language of differential forms. Differential forms in Hamiltonian Mechanics: symplectic geometry. Equivariant differential forms. Berline-Verne localisation formula. Duistermaat-Heckman localisation formula: Witten's proof.
Instruction
Lectures and lessons.
Assessment
Examination at the end of the course.