Classical-quantum correspondence for shape-invariant systems

DOI10.1088/1751-8113/48/24/245201zbMath1320.33014arXiv1405.0968OpenAlexW2200496893MaRDI QIDQ5261653

Danilo Riglioni, A. Michel Grundland

Publication date: 6 July 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0968

zbMATH Keywords

integrable systemsexceptional orthogonal polynomialsshape-invariant potentialsPainlevé equations in Calogero form

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) PDEs in connection with quantum mechanics (35Q40) Other special orthogonal polynomials and functions (33C47)

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