On the Wigner-Racah Algebra of the Group SU(2) in a Non-Standard Basis
Abstract
Description
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).
13 pages, Latex file. Paper based on a lecture given to the Vth International School on Theoretical Physics "Symmetry and Structural Properties of Condensed Matter" (Zaj\c aczkowo, Poland, 27 August - 2 September 1998)
13 pages, Latex file. Paper based on a lecture given to the Vth International School on Theoretical Physics "Symmetry and Structural Properties of Condensed Matter" (Zaj\c aczkowo, Poland, 27 August - 2 September 1998)