Are all classical superintegrable systems in two-dimensional space linearizable?
Exactly Solvable and Integrable Systems
2017-02-01 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1602.00705,
title = {Are all classical superintegrable systems in two-dimensional space linearizable?},
author = {G. Gubbiotti and M. C. Nucci},
journal= {arXiv preprint arXiv:1602.00705},
year = {2017}
}
Comments
17 pages