Coulomb-oscillator duality in spaces of constant curvature

E. G. Kalnins; W. Miller; G. S. Pogosyan

doi:10.1063/1.533263

Coulomb-oscillator duality in spaces of constant curvature

E. G. Kalnins, W. Miller, G. S. Pogosyan

Research output: Contribution to journal › Article › peer-review

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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 two, three, and five. The corresponding classical and quantum mechanical analogs of the Kepler-Coulomb problem on these spheres are discussed.

Original language	English (US)
Pages (from-to)	2629-2657
Number of pages	29
Journal	Journal of Mathematical Physics
Volume	41
Issue number	5
DOIs	https://doi.org/10.1063/1.533263
State	Published - May 2000
Externally published	Yes

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title = "Coulomb-oscillator duality in spaces of constant curvature",

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 two, three, and five. The corresponding classical and quantum mechanical analogs of the Kepler-Coulomb problem on these spheres are discussed.",

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year = "2000",

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AU - Miller, W.

AU - Pogosyan, G. S.

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Y1 - 2000/5

N2 - 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 two, three, and five. The corresponding classical and quantum mechanical analogs of the Kepler-Coulomb problem on these spheres are discussed.

AB - 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 two, three, and five. The corresponding classical and quantum mechanical analogs of the Kepler-Coulomb problem on these spheres are discussed.

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JO - Journal of Mathematical Physics

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Coulomb-oscillator duality in spaces of constant curvature

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