Coulomb-oscillator duality in spaces of constant curvature
Quantum Physics
2012-08-27 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/9906055,
title = {Coulomb-oscillator duality in spaces of constant curvature},
author = {E. G. Kalnins and W. Miller, and G. S. Pogosyan},
journal= {arXiv preprint arXiv:quant-ph/9906055},
year = {2012}
}
Comments
33 pages, LaTeX file