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...
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| Format: | Article |
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Elsevier
2018
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| Online Access: | http://hdl.handle.net/1721.1/116710 |
| _version_ | 1826188266881155072 |
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| author | Vinet, Luc Iliev, Plamen Genest, Vincent |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Vinet, Luc Iliev, Plamen Genest, Vincent |
| author_sort | Vinet, Luc |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T07:57:04Z |
| format | Article |
| id | mit-1721.1/116710 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T07:57:04Z |
| publishDate | 2018 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | mit-1721.1/1167102022-09-23T09:50:19Z Coupling coefficients of su q (1,1) and multivariate q -Racah polynomials Vinet, Luc Iliev, Plamen Genest, Vincent Massachusetts Institute of Technology. Department of Mathematics Genest, Vincent 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. Simons Foundation (Grant #280940) Natural Sciences and Engineering Research Council of Canada 2018-07-02T14:29:32Z 2018-07-02T14:29:32Z 2017-12 2017-11 2018-03-12T14:26:27Z Article http://purl.org/eprint/type/JournalArticle 05503213 http://hdl.handle.net/1721.1/116710 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. http://dx.doi.org/10.1016/j.nuclphysb.2017.12.009 Nuclear Physics B Creative Commons Attribution http://creativecommons.org/licenses/by/3.0/ The Author(s) application/pdf Elsevier TopicHub SCOAP3 |
| spellingShingle | Vinet, Luc Iliev, Plamen Genest, Vincent Coupling coefficients of su q (1,1) and multivariate q -Racah polynomials |
| title | Coupling coefficients of su q (1,1) and multivariate q -Racah polynomials |
| title_full | Coupling coefficients of su q (1,1) and multivariate q -Racah polynomials |
| title_fullStr | Coupling coefficients of su q (1,1) and multivariate q -Racah polynomials |
| title_full_unstemmed | Coupling coefficients of su q (1,1) and multivariate q -Racah polynomials |
| title_short | Coupling coefficients of su q (1,1) and multivariate q -Racah polynomials |
| title_sort | coupling coefficients of su q 1 1 and multivariate q racah polynomials |
| url | http://hdl.handle.net/1721.1/116710 |
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