dorsal/arxiv
View SchemaCoulomb-oscillator duality in spaces of constant curvature
| Authors | E. G. Kalnins, W. Miller, Jr., G. S. Pogosyan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906055 |
| URL | https://arxiv.org/abs/quant-ph/9906055 |
| DOI | 10.1063/1.533263 |
| Journal | J.Math.Phys.41:2629-2657,2000 |
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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"abstract": "In this paper we construct generalizations to spheres of the well known\nLevi-Civita, Kustaanheimo-Steifel and Hurwitz regularizing transformations in\nEuclidean spaces of dimensions 2, 3 and 5. The corresponding classical and\nquantum mechanical analogues of the Kepler-Coulomb problem on these spheres are\ndiscussed.",
"arxiv_id": "quant-ph/9906055",
"authors": [
"E. G. Kalnins",
"W. Miller, Jr.",
"G. S. Pogosyan"
],
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"quant-ph"
],
"doi": "10.1063/1.533263",
"journal_ref": "J.Math.Phys.41:2629-2657,2000",
"title": "Coulomb-oscillator duality in spaces of constant curvature",
"url": "https://arxiv.org/abs/quant-ph/9906055"
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