On the Wigner-Racah algebra of the group $SU_{2}$ in a non-standard basis - IN2P3 - Institut national de physique nucléaire et de physique des particules
Communication Dans Un Congrès Année : 1999

On the Wigner-Racah algebra of the group $SU_{2}$ in a non-standard basis

Résumé

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).

Dates et versions

in2p3-00003417 , version 1 (10-11-1999)

Identifiants

Citer

M. Kibler. On the Wigner-Racah algebra of the group $SU_{2}$ in a non-standard basis. International School on Theoretical Physics 5, Aug 1998, Zajaczkowo, Poland. pp.222-233. ⟨in2p3-00003417⟩
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