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Turkish Journal of Physics

Article Title

On the Kepler-Coulomb Problem in the Three-dimensional Space With Constant Positive Curvature

DOI

-

Abstract

The Schr\"{o}dinger equation is analysed for the Kepler-Coulomb problem in the three-dimensional space with constant positive curvature. The representation of the elliptic basis as a superposition over hyperspherical states is obtained. The ``parabolic" system of coordinates on the three-dimensional sphere is determined which is a particular case of elliptic coordinates rather than an independent system of coordinates as in the flat space.

First Page

515

Last Page

524

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