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

Autor:	Rodriguez, Miguel A., Tempesta, Piergiulio
Rok vydání:	2022
Předmět:	Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems 70H06
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/acaada
Popis:	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. Comment: 9 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.02208 Zobrazit plný text záznamu View this record from Arxiv