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?

Nucci M.C.
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.
2017
Gubbiotti G.; Nucci M.C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/909488
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