Factorization Way to Symmetries of Systems on Curved Spaces
Mathematical Physics
2024-07-29 v1 math.MP
Abstract
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 (SW) and Evans systems.
Cite
@article{arxiv.2407.18628,
title = {Factorization Way to Symmetries of Systems on Curved Spaces},
author = {Sergio Salamanca},
journal= {arXiv preprint arXiv:2407.18628},
year = {2024}
}
Comments
21 Pages, 4 figures