Coulomb-oscillator duality in spaces of constant curvature

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 thes...

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Bibliographic Details
Published in:Journal of mathematical physics 2000-05, Vol.41 (5), p.2629-2657
Main Authors: Kalnins, E. G., Miller, W., Pogosyan, G. S.
Format: Article
Language:English
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Summary: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.533263