Published March 2009
| Version v1
Journal article
Dynamical symmetries of the Klein-Gordon equation
Creators
- 1. Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071 (China)
Description
The dynamical symmetries of the two-dimensional Klein-Gordon equations with equal scalar and vector potentials (ESVPs) are studied. The dynamical symmetries are considered in the plane and the sphere, respectively. The generators of the SO(3) group corresponding to the Coulomb potential and the SU(2) group corresponding to the harmonic oscillator potential are derived. Moreover, the generators in the sphere construct the Higgs algebra. With the help of the Casimir operators, the energy levels of the Klein-Gordon systems are yielded naturally
Additional details
Identifiers
- DOI
- 10.1063/1.3089583;
- arXiv
- arXiv:0805.4723v3;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 50
- Journal Issue
- 3
- Journal Page Range
- p. 032301-032301.7
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40051450
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; CASIMIR OPERATORS; COULOMB FIELD; ENERGY LEVELS; HARMONIC OSCILLATORS; HIGGS MODEL; KLEIN-GORDON EQUATION; POTENTIALS; QUANTUM MECHANICS; RELATIVISTIC RANGE; SCALARS; SCHROEDINGER EQUATION; SO-3 GROUPS; SPHERES; SU-2 GROUPS; SYMMETRY; TWO-DIMENSIONAL CALCULATIONS; VECTORS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; ENERGY RANGE; EQUATIONS; FIELD EQUATIONS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; SO GROUPS; SU GROUPS; SYMMETRY GROUPS; TENSORS; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2009 American Institute of Physics