Coulomb-oscillator duality in spaces of constant curvature
classification
🪐 quant-ph
keywords
spacesspheresanaloguesclassicalconstantconstructcorrespondingcoulomb-oscillator
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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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