Dynamical symmetries of the Klein–Gordon equation
Copyright policy )Dynamical symmetries of the Klein–Gordon equation
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.
- NANKAI UNIVERSITY
- Nankai University China (People's Republic of)
- Nankai University
Quantum Physics, Nuclear Theory, FOS: Physical sciences, Schrödinger equation, algebra, harmonic oscillators, Finite-dimensional groups and algebras motivated by physics and their representations, Nuclear Theory (nucl-th), mathematical operators, SO(3) groups, SU(2) theory, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, relativistic quantum mechanics, Quantum Physics (quant-ph), Geometric theory, characteristics, transformations in context of PDEs
Quantum Physics, Nuclear Theory, FOS: Physical sciences, Schrödinger equation, algebra, harmonic oscillators, Finite-dimensional groups and algebras motivated by physics and their representations, Nuclear Theory (nucl-th), mathematical operators, SO(3) groups, SU(2) theory, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, relativistic quantum mechanics, Quantum Physics (quant-ph), Geometric theory, characteristics, transformations in context of PDEs
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