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

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

1997-12-17

arxiv.org/abs/physics/9712034v1

Physics

Mathematical Physics

12 pages, Latex file. Submitted for publication to Turkish Journal of Physics

Scientific paper

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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