An Alternative Basis for the Wigner-Racah Algebra of the Group SU(2)

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dc.creatorKibler, M.
dc.creatorDaoud, M.
dc.date1997-12-17
dc.date.accessioned2026-07-07T10:15:55Z
dc.date.available2026-07-07T10:15:55Z
dc.descriptionThe 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.
dc.description12 pages, Latex file. Submitted for publication to Turkish Journal of Physics
dc.identifierhttps://arxiv.org/abs/physics/9712034
dc.identifierhttp://arxiv.org/abs/physics/9712034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173334
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectQuantum Algebra
dc.subjectQuantum Physics
dc.titleAn Alternative Basis for the Wigner-Racah Algebra of the Group SU(2)
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