On the Wigner-Racah Algebra of the Group SU(2) in a Non-Standard Basis

Details On the Wigner-Racah Algebra of the Group SU(2) in a Non-Standard Basis On the Wigner-Racah Algebra of the Group SU(2) in a Non-Standard Basis

1998-10-28

arxiv.org/abs/math-ph/9810019v1

Physics

Mathematical Physics

13 pages, Latex file. Paper based on a lecture given to the Vth International School on Theoretical Physics "Symmetry and Stru

Scientific paper

The algebra su(2) is derived from two commuting quon algebras for which the parameter q is a root of unity. This leads to a polar decomposition of the shift operators of the group SU(2). The Wigner-Racah algebra of SU(2) is developed in a new basis arising from the simultanenous diagonalization of two commuting operators, viz., the Casimir of SU(2) and a unitary operator which takes its origin in the polar decomposition of the shift operators of SU(2).

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