Representation theory and Wigner-Racah algebra of the SU(2) group in a noncanonical basis

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dc.creatorKibler, M. R.
dc.date2005-04-05
dc.date.accessioned2026-07-07T06:12:30Z
dc.date.available2026-07-07T06:12:30Z
dc.descriptionThe Lie algebra su(2) of the classical group SU(2) is built from two commuting 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) group, in terms of a unitary operator and a Hermitean operator, and (ii) a nonstandard quantization scheme, alternative to the usual quantization scheme correponding to the diagonalization of the Casimir of su(2) and of the z-generator. The representation theory of the SU(2) group can be developed in this nonstandard scheme. The key ideas for developing the Wigner-Racah algebra of the SU(2) group in the nonstandard scheme are given. In particular, some properties of the coupling and recoupling coefficients as well as the Wigner-Eckart theorem in the nonstandard scheme are examined in great detail.
dc.descriptionTo be presented at ICSSUR'05 (9th International Conference on Squeezed States and Uncertainty Relations, France, 2-6 May 2005). Dedicated to Professor Josef Paldus on the occasion of his 70th birthday. To be published in Collection of Czechoslovak Chemical Communications
dc.identifierhttps://arxiv.org/abs/quant-ph/0504025
dc.identifierhttp://arxiv.org/abs/quant-ph/0504025
dc.identifierDans Collection of Czechoslovak Chemical Communications: a Special Issue in honor of Professor Josef Paldus, Czechoslovak Academy of Sciences (Ed.) (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92803
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleRepresentation theory and Wigner-Racah algebra of the SU(2) group in a noncanonical basis
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