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116710 |
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|a dc
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|a Vinet, Luc
|e author
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|a Massachusetts Institute of Technology. Department of Mathematics
|e contributor
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|a Genest, Vincent
|e contributor
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|a Iliev, Plamen
|e author
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|a Genest, Vincent
|e author
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|a Coupling coefficients of su q (1,1) and multivariate q -Racah polynomials
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|b Elsevier,
|c 2018-07-02T14:29:32Z.
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| 856 |
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|z Get fulltext
|u http://hdl.handle.net/1721.1/116710
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|a 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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|a Simons Foundation (Grant #280940)
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|a Natural Sciences and Engineering Research Council of Canada
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|a Article
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|t Nuclear Physics B
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