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Coulomb-oscillator duality in spaces of constant curvature

E. G. Kalnins·W. Miller, Jr.·G. S. Pogosyan
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Abstract

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 2, 3 and 5. The corresponding classical and quantum mechanical analogues of the Kepler-Coulomb problem on these spheres are discussed.

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E. G. Kalnins, W. Miller, Jr., G. S. Pogosyan. 1999-06-16. Coulomb-oscillator duality in spaces of constant curvature. https://doi.org/10.1063/1.533263

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