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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2007
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math-ph/0702049 |
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Table of Contents:
- We discuss the nearest neighbor distribution of the eigenvalues for hermitian generators in the Lie algebra of a semisimple complex Lie Group along a sequence of irreducible representations. After the basic definitions a limit theorem for rays of irreducible representation is formulated. Then it is proved that only a certain kind of rescaling will give meaning full results in the general case. Finally, we give explicit formulas for the Lipkin operator in the case of SU(3).