Dynamical symmetries of the Klein-Gordon equation

Journal Article · Sun Mar 15 04:00:00 EDT 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3089583· OSTI ID:21176071

Fulin, Zhang; Jingling, Chen ^[1]

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1. Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071 (China)

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.

• OSTI ID: 21176071
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 3 Vol. 50; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
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