On the Wigner-Racah Algebra of the Group SU(2) in a Non-Standard Basis
Kibler, M. R.
arXiv, 9810019 / Harvested from arXiv
Text on arXiv
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).
Publié le : 1998-10-28
Classification:  Mathematical Physics,  Mathematics - Quantum Algebra,  Quantum Physics 
@article{9810019,
     author = {Kibler, M. R.},
     title = {On the Wigner-Racah Algebra of the Group SU(2) in a Non-Standard Basis},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810019}
}

Kibler, M. R. On the Wigner-Racah Algebra of the Group SU(2) in a Non-Standard Basis. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810019/