Kalnins, E.G., Miller, W., Jr. & Pogosyan, G.S. (2000). Coulomb-oscillator duality in spaces of constant curvature. Journal of Mathematical Physics, 41, 2629.
Permanent Research Commons link: https://hdl.handle.net/10289/1149
In this paper we construct generalizations to spheres of the well-known Levi-Civita, Kustaanheimo–Steifel, and Hurwitz regularizing transformations in Euclidean spaces of dimensions two, three, and five. The corresponding classical and quantum mechanical analogs of the Kepler–Coulomb problem on these spheres are discussed.
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