Superintegrable systems in non-Euclidean plane: Hidden symmetries leading to linearity
- 1 July 2021
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 62 (7), 073503
- https://doi.org/10.1063/5.0041130
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 [Ballesteros et al., Classical Quantum Gravity 25, 165005 (2008)], the Taub–NUT system [Ballesteros et al., SIGMA 7, 048 (2011)], and all the 17 superintegrable systems for the four types of Darboux spaces as determined by Kalnins et al. [J. Math. Phys. 44, 5811–5848 (2003)].Funding Information
- Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers (DP200100210)
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