On a general analytical formula for U_q(su(3))-Clebsch-Gordan coefficients

Details On a general analytical formula for U_q(su(3))-Clebsch-Gordan coefficients On a general analytical formula for U_q(su(3))-Clebsch-Gordan coefficients

2001-03-27

arxiv.org/abs/math/0103187v1

Mathematics

Quantum Algebra

9 pages, LaTeX; to be published in Yad. Fiz. (Phys. Atomic Nuclei), (2001)

Scientific paper

10.1134/1.1432902

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.

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