An infinite family of superintegrable Hamiltonians with reflection in the plane

DOI10.1088/1751-8113/44/50/505201zbMath1238.81138arXiv1108.5208OpenAlexW2029235512MaRDI QIDQ3108494

Luc Vinet, Alexei Zhedanov, Sarah Post

Publication date: 4 January 2012

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

Full work available at URL: https://arxiv.org/abs/1108.5208

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (3)

A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems ⋮ Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials ⋮ Fourth-order superintegrable systems separating in polar coordinates. II. Standard potentials

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