Group theory and topology in physics
The course will cover both finite groups and Lie groups, introducing key mathematical results and demonstrating applications of group theory to physical systems through many concrete examples in for instance condensed matter and particle physics. Particular attention will be paid to the construction of representations of groups which are particularly relevant for physics.
The course will cover:
- Finite groups and their irreducible representations
- Matrix Lie groups, Lie algebras, and their representations
- Representation theory of SU(3) and of semisimple Lie algebras
- Symmetries in quantum mechanics
- Symmetry theory of solid states (crystals) and their band structures
- Applications of group theory and topology to physical systems
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Course structure
This is a second cycle (advanced) course given during the daytime. It may be included in a master degree program, or taken as an elective course.
Teaching format
Instruction consists of lectures and exercises. The course is offered in English.
Assessment
Assessment takes place through written and oral exams.
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Contact
Teachers:
Adrien Bouhon, Nordita: adrien.bouhon@su.se
Ronnie Rodgers, Nordita: ronnie.rodgers@su.se
Academic advisor at the Department of Physics: studievagledare@fysik.su.se
Student office: studentexp@fysik.su.se
