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)].
Superintegrable systems in non-Euclidean plane: Hidden symmetries leading to linearity / G. Gubbiotti, M.C. Nucci. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 62:7(2021), pp. 073503.1-073503.29. [10.1063/5.0041130]
Superintegrable systems in non-Euclidean plane: Hidden symmetries leading to linearity
G. GubbiottiPrimo
;
2021
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)].
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