Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials
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Publication:1744278
DOI10.1016/j.aop.2018.02.008zbMath1384.81047arXiv1710.03589OpenAlexW3098449536WikidataQ57999083 ScholiaQ57999083MaRDI QIDQ1744278
Sarah Post, Yao-Zhong Zhang, Md. Fazlul Hoque, Ian Marquette
Publication date: 23 April 2018
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.03589
polynomial algebrasexceptional orthogonal polynomialssuperintegrabilityladder operatordeformed oscillator algebras
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of hypergeometric functions (33C90) Special quantum systems, such as solvable systems (81Q80)
Related Items
Convergence rates of exceptional zeros of exceptional orthogonal polynomials, An algebraic geometric foundation for a classification of second-order superintegrable systems in arbitrary dimension, Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces, General solution of the exceptional Hermite differential equation and its minimal surface representation, Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators
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