Mathematical Methods of Physics MN2
Syllabus, B-level, 1TF255
This course has been discontinued.
- Code
- 1TF255
- Level
- B
- Subject(s)
- Physics
- Grading system
- Pass with distinction (VG), Pass (G), Fail (U)
- Finalised
- 7 January 2002
- Responsible department
- Department of Physics and Astronomy
Entry requirements
Mathematical Methods of Physics NV1
Aims
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.