An Alternative Basis for the Wigner-Racah Algebra of the Group SU(2)
Mathematical Physics
2008-11-06 v1 Statistical Mechanics
math.MP
Quantum Algebra
Quantum Physics
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.
Keywords
Cite
@article{arxiv.physics/9712034,
title = {An Alternative Basis for the Wigner-Racah Algebra of the Group SU(2)},
author = {M. Kibler and M. Daoud},
journal= {arXiv preprint arXiv:physics/9712034},
year = {2008}
}
Comments
12 pages, Latex file. Submitted for publication to Turkish Journal of Physics