Published 1996
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On the Kepler-Coulomb problem in the three-dimensional space with constant positive curvature
Description
The Schroedinger 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. 25 refs
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28002380.pdf
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Additional details
Publishing Information
- Imprint Pagination
- 10 p.
- Report number
- JINR-E--2-96-87
INIS
- Country of Publication
- Joint Institute for Nuclear Research (JINR)
- Country of Input or Organization
- Joint Institute for Nuclear Research (JINR)
- INIS RN
- 28002380
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COORDINATES; MATHEMATICAL SPACE; QUANTUM MECHANICS; SCHROEDINGER EQUATION; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; WAVE EQUATIONS
Optional Information
- Notes
- Submitted to Journal of Mathematical Physics.