The generic quantum superintegrable system on the sphere and Racah operators

DOI10.1007/s11005-017-0978-3zbMath1375.81130arXiv1608.04590OpenAlexW3104277175MaRDI QIDQ1683776

Plamen Iliev

Publication date: 1 December 2017

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04590

zbMATH Keywords

classical orthogonal polynomialssymmetriescommuting operatorsbispectralityquantum superintegrable systems

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (17)

The Racah algebra: An overview and recent results ⋮ Embedding of the Racah algebra \(R(n)\) and superintegrability ⋮ Quantum superintegrable system with a novel chain structure of quadratic algebras ⋮ Hahn polynomials for hypergeometric distribution ⋮ Gaudin model for the multinomial distribution ⋮ A higher rank Racah algebra and the $\mathbb{Z}_2^n$ Laplace–Dunkl operator ⋮ Coupling coefficients of \(\operatorname{su}_{q}(1,1)\) and multivariate \(q\)-Racah polynomials ⋮ Bargmann and Barut-Girardello models for the Racah algebra ⋮ The Racah algebra as a commutant and Howe duality ⋮ The dual pair (Uq(su(1,1)),oq1/2(2n)), q-oscillators, and Askey-Wilson algebras ⋮ Symmetry algebra for the generic superintegrable system on the sphere ⋮ Darboux transformations from the Appell-Lauricella operator ⋮ The higher rank \(q\)-deformed Bannai-Ito and Askey-Wilson algebra ⋮ Hahn polynomials on polyhedra and quantum integrability ⋮ A discrete realization of the higher rank Racah algebra ⋮ The Racah Algebra and "Equation missing" ⋮ Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures

Cites Work

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