Symmetry and Group Theory in Physics
Syllabus, Master's level, 1FA353
- Code
- 1FA353
- Education cycle
- Second cycle
- Main field(s) of study and in-depth level
- Physics A1N
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 8 February 2024
- Responsible department
- Department of Physics and Astronomy
Entry requirements
120 credits with Quantum Physics. Proficiency in English equivalent to the Swedish upper secondary course English 6.
Learning outcomes
On completion of the course, the student should be able to:
- apply symmetry considerations and analyze both discrete and continuous symmetries of physical systems using group theoretical tools
- apply representation theory and decompose into irreducible representations, and apply this to physical systems
- make computations with Lie groups and Lie algebras and and their representations
Content
The course gives a general introduction to the description of symmetry properties of physical systems. Group theory and the theory of group representations and applications in physics. Group theory in quantum mechanics. Lie groups and Lie algebras with applications. Unitary and orthogonal groups. Tensor representations and Young tableaux.
Instruction
Lectures and tutorials.
Assessment
Homework assignments (4 credits). Oral examination (1 credit).
If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.