Several examples of classical superintegrable systems in a two-dimensional space are shown to possess hidden symmetries leading to their linearization. They include those determined fifty years ago in the work of Friš et al. [Phys. Lett. 13, 354-356 (1965)], their generalizations, and the more recent Tremblay-Turbiner-Winternitz system [F. Tremblay et al., J. Phys. A: Math. Theor. 42, 242001 (2009)]. We conjecture that all classical superintegrable systems in the two-dimensional space have hidden symmetries that make them linearizable.
Are all classical superintegrable systems in two-dimensional space linearizable? / G. Gubbiotti, M.C. Nucci. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 58:1(2017), pp. 012902.1-012902.14. [10.1063/1.4974264]
Are all classical superintegrable systems in two-dimensional space linearizable?
G. Gubbiotti
Primo
;
2017
Abstract
Several examples of classical superintegrable systems in a two-dimensional space are shown to possess hidden symmetries leading to their linearization. They include those determined fifty years ago in the work of Friš et al. [Phys. Lett. 13, 354-356 (1965)], their generalizations, and the more recent Tremblay-Turbiner-Winternitz system [F. Tremblay et al., J. Phys. A: Math. Theor. 42, 242001 (2009)]. We conjecture that all classical superintegrable systems in the two-dimensional space have hidden symmetries that make them linearizable.File | Dimensione | Formato | |
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