New approach in theory of Clebsch-Gordan coefficients for u(n) and Uq(u(n))

Document Type

Article

Publication Date

1-1-2000

Abstract

A new method for calculation of Clebsch-Gordan coefficients (CGCs) of the Lie algebra u(n) and its quantum analog Uq(u(n)) is developed. The method is based on the projection operator method in combination with the Wigner-Racah calculus for the subalgebra u(n-1) (Uq(u(n-1))). The key formulas of the method are couplings of the tensor and projection operators and also a tensor form of the projection operator of u(n) and Uq(u(n)). It is shown that the Uq(u(n)) CGCs can be presented in terms of the Uq(u(n-1)) q-9j-symbols.

Publication Source (Journal or Book title)

Czechoslovak Journal of Physics

First Page

1359

Last Page

1369

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