Superintegrable systems in non-Euclidean plane: hidden symmetries leading to linearity
Mathematical Physics
2021-07-21 v1 math.MP
Abstract
Nineteen classical superintegrable systems in two-dimensional non-Euclidean spaces are shown to possess hidden symmetries leading to their linearization. They are the two Perlick systems [A. Ballesteros, A. Enciso, F.J. Herranz and O. Ragnisco, Class. Quantum Grav. 25, 165005 (2008)], the Taub-NUT system [A. Ballesteros, A. Enciso, F.J. Herranz, O. Ragnisco, and D. Riglioni, SIGMA 7, 048 (2011)], and all the seventeen superintegrable systems for the four types of Darboux spaces as determined in [E.G. Kalnins, J.M. Kress, W. Miller, P. Winternitz, J. Math. Phys. 44, 5811--5848 (2003)].
Keywords
Cite
@article{arxiv.2101.05270,
title = {Superintegrable systems in non-Euclidean plane: hidden symmetries leading to linearity},
author = {G. Gubbiotti and M. C. Nucci},
journal= {arXiv preprint arXiv:2101.05270},
year = {2021}
}