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Recursion Relations for Clebsch-Gordan Coefficients of Uq(su2) and Uq(su1,1)

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arxiv hep-th/9407065 v1 pith:H7KOOEJZ submitted 1994-07-13 hep-th

M. Kibler , C. Campigotto , Yu.F. Smirnov This is my paper · ORCID
classification hep-th
keywords relationsalgebrasclebsch-gordancoefficientsquantumrecursionarticlecomplementarity
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abstract

We report in this article three- and four-term recursion relations for Clebsch-Gordan coefficients of the quantum algebras $U_q(su_2)$ and $U_q(su_{1,1})$. These relations were obtained by exploiting the complementarity of three quantum algebras in a $q$-deformation of $sp(8, \gr)$.

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Cited by 1 Pith paper

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  1. Isgur-Wise functions for $\boldsymbol{\Lambda_b \to \Lambda_c\left({1 \over 2}^\pm \right)}$ transitions in the Bakamjian-Thomas Relativistic Quark Model

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The authors derive formal expressions for the elastic and inelastic Isgur-Wise functions of Lambda_b to Lambda_c(1/2+ and 1/2-) transitions in the Bakamjian-Thomas three-body quark model.

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