https://doi.org/10.1140/epjp/s13360-025-06174-7
Regular Article
Factorization way to symmetries of systems on curved spaces
Departamento de Física Teórica, Atómica y Óptica and Laboratory for Disruptive Interdisciplinary Science (LaDIS), Universidad de Valladolid, 47011, Valladolid, Spain
Received:
31
July
2024
Accepted:
24
February
2025
Published online:
19
March
2025
In a previous work we showcased the factorization method to find the symmetries of superintegrable systems with spherical separability in flat spaces. Here we analyze the same problem, but in constant curvature spaces along the examples of curved Kepler-Coulomb and harmonic oscillator systems. We also show how this procedure can also be directly extended to the curved Smorodinsky-Winternitz and Evans systems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
