Coulomb-oscillator duality in spaces of constant curvature

Details Coulomb-oscillator duality in spaces of constant curvature Coulomb-oscillator duality in spaces of constant curvature

1999-06-16

arxiv.org/abs/quant-ph/9906055v1

J.Math.Phys.41:2629-2657,2000

Physics

Quantum Physics

33 pages, LaTeX file

Scientific paper

10.1063/1.533263

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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