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Some applications of the theory of group representations in mathematical physics

Abstract:

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...

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Peer review status:
Peer reviewed

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Department:
University of Oxford
Role:
Author
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Source identifiers:
601870803
UUID:
uuid:e30e88d1-eb76-499e-82f7-17a37196f1fd
Local pid:
polonsky:14:35
Deposit date:
2017-10-05

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