Published November 2007
| Version v1
Journal article
Dirac oscillator with minimal lengths and free particle on AdS2 and S2
Creators
- 1. Department of Physics, Sciences Faculty, Mazandaran University, P.O. Box 47415-416, Babolsar (Iran, Islamic Republic of) and Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5531, Tehran (Iran, Islamic Republic of)
Description
We use two different types of laddering equations which are realized by the associated Gegenbauer functions. We show that the Dirac oscillator equation with minimal lengths can be written to form associated Gegenbauer functions. This leads us to write the Dirac oscillator equation in terms of first order equations. By changing some variable in two types of equations, we have some u(1,1) and u(2) algebras. These algebras correspond to AdS2 and S2. Finally, we conclude that all quantum states from the Dirac oscillator (presence of minimal lengths) correspond to the quantum states of free particle on AdS2 and S2
Additional details
Identifiers
- DOI
- 10.1063/1.2804773;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 48
- Journal Issue
- 11
- Journal Page Range
- p. 113508-113508.10
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39035973
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; ANTI DE SITTER SPACE; DIRAC EQUATION; ENERGY LEVELS; FUNCTIONS; MATRICES; OSCILLATORS; QUANTUM MECHANICS; U-1 GROUPS; U-2 GROUPS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELECTRONIC EQUIPMENT; EQUATIONS; EQUIPMENT; FIELD EQUATIONS; LIE GROUPS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; SYMMETRY GROUPS; U GROUPS; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2007 American Institute of Physics