Series of hadron energy levels as representations of non-compact groups
- Creators
- Dothan, Y.
- Gell-Mann, M.
- Ne'eman, Y.
Abstract
It has recently been emphasized [1] that in an approximate symmetry theory it is by no means necessary that a consistent relativistic model be available in which the symmetry is exact, with the violations then treated as perturbations. It is sufficient that a set of operators be found that obey the equal-time commutation relations characteristic of some algebra, that the energy operator be decomposed into terms transforming according to various irreducible representations of the algebra, and that the stationary and quasi-stationary quantum-mechanical states have a tendency to fall approximately into irreducible representations of the algebra as a result of dynamics. within each irreducible representations of the algebra as a result of dynamics.
Additional Information
© 1965 Elsevier. Received 21 May 1965. Work supported in part by the U.S. Atomic Energy Commission. Prepared under Contract AT(11-1)-68 for the San Francisco Operations Office, U.S. Atomic Energy Commission. The authors are indebted to Dr. R. Hermann and Dr. R. P. Feynman for illuminating discussions of the mathematics and physics respectively of non-compact groups.Additional details
- Eprint ID
- 60363
- DOI
- 10.1016/0031-9163(65)90279-9
- Resolver ID
- CaltechAUTHORS:20150921-073807435
- Atomic Energy Commission
- AT(11-1)-68
- Created
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2015-09-21Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field