Third-order superintegrable systems with potentials satisfying only nonlinear equations

DOI10.1063/1.4933218zbMath1325.81079arXiv1501.00470OpenAlexW2962998811MaRDI QIDQ3450540

Sarah Post, Libor Šnobl, Antonella Marchesiello

Publication date: 6 November 2015

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

Full work available at URL: https://arxiv.org/abs/1501.00470

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

A family of fourth-order superintegrable systems with rational potentials related to Painlevé VI ⋮ Two-dimensional superintegrable systems from operator algebras in one dimension ⋮ Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials ⋮ New classes of quadratically integrable systems in magnetic fields: the generalized cylindrical and spherical cases ⋮ Fourth-order superintegrable systems separating in polar coordinates. II. Standard potentials

Cites Work

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