Fifth-order superintegrable quantum systems separating in Cartesian coordinates: Doubly exotic potentials

DOI10.1063/1.5007252zbMath1385.81027arXiv1708.03379OpenAlexW2963053150MaRDI QIDQ4607676

Ismail Abouamal, Pavel Winternitz

Publication date: 14 March 2018

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

Full work available at URL: https://arxiv.org/abs/1708.03379

zbMATH Keywords

Painlevé propertysuperintegrable quantum systemsCartesian coordinatesPainlevé functionsexotic potentials

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Painlevé-type functions (33E17)

Related Items (11)

On superintegrable systems separable in Cartesian coordinates ⋮ Two-dimensional superintegrable systems from operator algebras in one dimension ⋮ Lie point symmetries and ODEs passing the Painlevé test ⋮ Doubly exotic \(N\)th-order superintegrable classical systems separating in Cartesian coordinates ⋮ \(N^{th}\)-order superintegrable systems separating in polar coordinates ⋮ Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras ⋮ Higher Order Quantum Superintegrability: A New “Painlevé Conjecture” ⋮ General Nth-order superintegrable systems separating in polar coordinates ⋮ Fourth-order superintegrable systems separating in polar coordinates. II. Standard potentials ⋮ New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates ⋮ Superintegrable systems with spin and second-order tensor and pseudo-tensor integrals of motion

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