Coupling coefficients of su q (1,1) and multivariate q -Racah polynomials
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j.nuclphysb.2017.12.009.pdf
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Author(s)
Vinet, Luc
Iliev, Plamen
Genest, Vincent
Date Issued
December 2017
Journal
Nuclear Physics B
Publisher
Elsevier
Citation
Genest, Vincent X., Plamen Iliev, and Luc Vinet. “Coupling Coefficients of Su q (1,1) and Multivariate q -Racah Polynomials.” Nuclear Physics B 927 (February 2018): 97–123.
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1016/j.nuclphysb.2017.12.009
