Upon completing the course, students learn the following skills. They are able to
- understand and explain basic concepts and methods of group and representation theory (k1/k2);
- formulate and interpret underlying mathematical principles in a precise and analytical way (k3);
- apply the principles of group and representation theory to other advanced quantum mechanical problems (k3).
|
During the course, students acquire knowledge in the following areas and concepts of group and representation theory, including their application in modern quantum mechanics, solid state and molecular physics:
- symmetries as linear mappings on vector spaces;
- groups; equivalence classes;
- reducible and irreducible representations;
- fundamental theorems of representation theory;
- characters;
- reduction of reducible representations;
- 3D rotation group;
- selection rules in quantum mechanics;
- point symmetries;
- examples from molecular/solid state physics.
|
