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The anisotropic harmonic oscillator group

Published online by Cambridge University Press:  24 October 2008

G. M. King
G. M. King
Affiliation:
Department of Operational Research, University of Lancaster
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Extract

1. The oscillator group. The one-dimensional oscillator group was studied by Streater (7) when he was comparing different methods of calculating representations. It is interesting to generalize this work and consider the group corresponding to the n-dimensional anisotropic oscillator with frequencies ωj In fact, the ideas can be generalized to even larger groups and, in the process of considering their representa tions, several points emerge connected with the harmonic oscillator degeneracies.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 2 , March 1974 , pp. 235 - 248
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

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