An Alternative Basis for the Wigner-Racah Algebra of the Group SU 2 - IN2P3 - Institut national de physique nucléaire et de physique des particules
Communication Dans Un Congrès Année : 1998

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

M. Daoud
  • Fonction : Auteur

Résumé

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.

Dates et versions

in2p3-00003440 , version 1 (19-11-1998)

Identifiants

Citer

M. Kibler, M. Daoud. An Alternative Basis for the Wigner-Racah Algebra of the Group SU 2. International Conference on Quantum Groups Deformations and Contractions, Sep 1997, Istanbul, Turkey. pp.12. ⟨in2p3-00003440⟩
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