On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models. (16th December 2022)

• Record Type: Journal Article
• Authors: Rodríguez, Miguel A; Tempesta, Piergiulio
• Is Part Of: Journal of physics. Volume 55:Number 50(2022)
• Publication Date: 2022-12-16
• Subjects: Hamiltonian systems -- superintegrable models -- Liouville integrability; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/acaada
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: 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.