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

R. M. Asherova·Yu. F. Smirnov·V. N. Tolstoy
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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.

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R. M. Asherova, Yu. F. Smirnov, V. N. Tolstoy. 2001-03-27. On a general analytical formula for U_q(su(3))-Clebsch-Gordan coefficients. https://doi.org/10.1134/1.1432902

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