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