Coupling coefficients of su q (1,1) and multivariate q -Racah polynomials
Gasper & Rahman's multivariate q -Racah polynomials are shown to arise as connection coefficients between families of multivariate q -Hahn or q -Jacobi polynomials. The families of q -Hahn polynomials are constructed as nested Clebsch–Gordan coefficients for the positive-discrete series rep...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
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Elsevier
2018
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| Online Access: | http://hdl.handle.net/1721.1/116710 |
| Summary: | Gasper & Rahman's multivariate q -Racah polynomials are shown to arise as connection coefficients between families of multivariate q -Hahn or q -Jacobi polynomials. The families of q -Hahn polynomials are constructed as nested Clebsch–Gordan coefficients for the positive-discrete series representations of the quantum algebra suq(1,1) . This gives an interpretation of the multivariate q -Racah polynomials in terms of 3nj symbols. It is shown that the families of q -Hahn polynomials also arise in wavefunctions of q -deformed quantum Calogero–Gaudin superintegrable systems. |
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