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arXiv · 1602.00705

Are all classical superintegrable systems in two-dimensional space linearizable?

G. Gubbiotti·M. C. Nucci
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Abstract

Several examples of classical superintegrable systems in two-dimensional spac are shown to possess hidden symmetries leading to their linearization. They are those determined 50 years ago in [Phys. Lett. 13, 354 (1965)], and the more recent Tremblay-Turbiner-Winternitz system [J. Phys. A: Math. Theor. 42, 242001 (2009)]. We conjecture that all classical superintegrable systems in two-dimensional space have hidden symmetries that make them linearizable.

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G. Gubbiotti, M. C. Nucci. 2016-02-01. Are all classical superintegrable systems in two-dimensional space linearizable?. https://doi.org/10.1063/1.4974264

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