On a general analytical formula for Uq(su(3))-Clebsch-Gordan coefficients
Abstract
We present the projection operator method in combination with the Wigner-Racah calculus of the subalgebra Uq(su(2)) for calculation of Clebsch-Gordan coefficients (CGCs) of the quantum algebra Uq(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 Uq(su(3)). We obtain a very compact general analytical formula for the Uq(su(3)) CGCs in terms of the Uq(su(2)) Wigner 3nj-symbols.
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