"On the Kepler-Coulomb Problem in the Three-dimensional Space With Cons" by G.S. POGOSYAN and A.N. SISSAKIAN

Turkish Journal of Physics

Article Title

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

Authors

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

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

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