Published June 2002
| Version v1
Journal article
An algebraic treatment of the MIC-Kepler problem on S3 sphere
- 1. Institute of Physics, Belarussian Academy of Sciences, Minsk (Belarus)
Description
The quantum-mechanical problem of motion in a dual charged Coulomb field modified by a centrifugal term (MIC-Kepler problem) is considered in a three-dimensional space of constant positive curvature, S3. Conserved operators are found, and their commutation relations are derived. It is shown that, in the MIC-Kepler problem in S3 space, conserved operators form a cubic algebra similar to that of the Kepler problem in the same space. This symmetry algebra is used to obtain the energy spectrum of the problem
Additional details
Identifiers
- DOI
- 10.1134/1.1490110;
Publishing Information
- Journal Title
- Physics of Atomic Nuclei
- Journal Volume
- 65
- Journal Issue
- 6
- Journal Page Range
- p. 1052-1056
- ISSN
- 1063-7788
- CODEN
- PANUEO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35079350
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Translation
- Descriptors DEI
- ALGEBRAIC FIELD THEORY; COMMUTATION RELATIONS; COULOMB FIELD; ENERGY SPECTRA; QUANTUM MECHANICS; SPHERES; SYMMETRY GROUPS; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- AXIOMATIC FIELD THEORY; ELECTRIC FIELDS; FIELD THEORIES; MECHANICS; QUANTUM FIELD THEORY; SPECTRA
Optional Information
- Notes
- Translated from Yadernaya Fizika, ISSN 0044-0027, 65, 1085-1089 (No. 6, 2002); (c) 2002 MAIK ''Nauka / Interperiodica''.