Coulomb-oscillator duality in spaces of constant curvature
arXiv:quant-ph/9906055 · doi:10.1063/1.533263
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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