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
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
