dorsal/arxiv
View SchemaAn Alternative Basis for the Wigner-Racah Algebra of the Group SU(2)
| Authors | M. Kibler, M. Daoud |
|---|---|
| Categories | |
| ArXiv ID | physics/9712034 |
| URL | https://arxiv.org/abs/physics/9712034 |
Abstract
The Lie algebra of the classical group SU(2) is constructed from two quon algebras for which the deformation parameter is a common root of unity. This construction leads to (i) a not very well-known polar decomposition of the ladder generators of the SU(2) Lie algebra and to (ii) an alternative to the (J,M) quantization scheme, viz., the (J,alpha) quantization scheme. The key ideas for developing the Wigner-Racah algebra of the group SU(2) in the (J,alpha) scheme are given. In particular, some properties of the coupling and recoupling coefficients as well as the Wigner-Eckart theorem in the (J,alpha) scheme are briefly discussed.
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"abstract": "The Lie algebra of the classical group SU(2) is constructed from two quon\nalgebras for which the deformation parameter is a common root of unity. This\nconstruction leads to (i) a not very well-known polar decomposition of the\nladder generators of the SU(2) Lie algebra and to (ii) an alternative to the\n(J,M) quantization scheme, viz., the (J,alpha) quantization scheme. The key\nideas for developing the Wigner-Racah algebra of the group SU(2) in the\n(J,alpha) scheme are given. In particular, some properties of the coupling and\nrecoupling coefficients as well as the Wigner-Eckart theorem in the (J,alpha)\nscheme are briefly discussed.",
"arxiv_id": "physics/9712034",
"authors": [
"M. Kibler",
"M. Daoud"
],
"categories": [
"math-ph",
"cond-mat.stat-mech",
"math.MP",
"math.QA",
"quant-ph"
],
"title": "An Alternative Basis for the Wigner-Racah Algebra of the Group SU(2)",
"url": "https://arxiv.org/abs/physics/9712034"
},
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