On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models

On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models

We introduce a family of n -dimensional Hamiltonian systems which, contain, as special reductions, several superintegrable systems as the Tremblay–Turbiner–Winternitz system, a generalized Kepler potential and the anisotropic harmonic oscillator with Rosochatius terms. We conjecture that there exist...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2022-12, Vol.55 (50), p.50
Hauptverfasser: Rodríguez, Miguel A, Tempesta, Piergiulio
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Sprache:eng
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Hamiltonian systems
Liouville integrability
superintegrable models
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Tempesta, Piergiulio
description We introduce a family of n -dimensional Hamiltonian systems which, contain, as special reductions, several superintegrable systems as the Tremblay–Turbiner–Winternitz system, a generalized Kepler potential and the anisotropic harmonic oscillator with Rosochatius terms. We conjecture that there exist special values in the space of parameters, apart from those leading to known cases, for which this new Hamiltonian family is superintegrable.
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subjects Hamiltonian systems
Liouville integrability
superintegrable models
title On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
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