Some applications of the theory of group representations in mathematical physics
This thesis is concerned mainly with the accidental degeneracy of the n-dimensional anisotropic harmonic oscillator.
The general concept of accidental degeneracy is defined, and a summary is given of some of the explanations for it.
A description is presented of Mackey's theory of group representations for general semi-direct product groups. This is followed by a method for the explicit application of the theory to the cases which arise in this thesis.
A group G associ...Expand abstract
- Peer review status:
- Peer reviewed
- Type of award:
- Level of award:
- Awarding institution:
- University of Oxford
- Source identifiers:
- Local pid:
- Deposit date:
- Copyright holder:
- Major, M; Major, M E
- Copyright date:
- This thesis was digitised thanks to the generosity of Dr Leonard Polonsky