On two superintegrable nonlinear oscillators in \(N\) dimensions

DOI10.1007/s10773-011-0750-xzbMath1358.70023arXiv1010.3358OpenAlexW2951716471MaRDI QIDQ649954

Francisco J. Herranz, Alberto Enciso, Orlando Ragnisco, Ángel Ballesteros, Danilo Riglioni

Publication date: 25 November 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3358

zbMATH Keywords

curvaturedeformationhyperboliceffective potentialsphericalsuperintegrabilityStäckel transform

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Special quantum systems, such as solvable systems (81Q80)

Related Items

Factorization Method and the Position-dependent Mass Problem, On the nonlocal symmetries of certain nonlinear oscillators and their general solution, Superintegrable deformations of superintegrable systems: Quadratic superintegrability and higher-order superintegrability

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