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

Authors

G.S. POGOSYAN
A.N. SISSAKIAN

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.

DOI

-

First Page

515

Last Page

524

Recommended Citation

POGOSYAN, G.S. and SISSAKIAN, A.N. (1997) "On the Kepler-Coulomb Problem in the Three-dimensional Space With Constant Positive Curvature," Turkish Journal of Physics: Vol. 21: No. 3, Article 30. Available at: https://journals.tubitak.gov.tr/physics/vol21/iss3/30