On a general analytical formula for U_q(su(3))-Clebsch-Gordan coefficients
Quantum Algebra
2009-11-07 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
We present the projection operator method in combination with the Wigner-Racah calculus of the subalgebra U_q(su(2)) for calculation of Clebsch-Gordan coefficients (CGCs) of the quantum algebra U_q(su(3)). The key formulas of the method are couplings of the tensor and projection operators and also a tensor form for the projection operator of U_q(su(3)). We obtain a very compact general analytical formula for the U_q(su(3)) CGCs in terms of the U_q(su(2)) Wigner 3nj-symbols.
Cite
@article{arxiv.math/0103187,
title = {On a general analytical formula for U_q(su(3))-Clebsch-Gordan coefficients},
author = {R. M. Asherova and Yu. F. Smirnov and V. N. Tolstoy},
journal= {arXiv preprint arXiv:math/0103187},
year = {2009}
}
Comments
9 pages, LaTeX; to be published in Yad. Fiz. (Phys. Atomic Nuclei), (2001)