Dynamical symmetries of the Klein-Gordon equation

Details Dynamical symmetries of the Klein-Gordon equation Dynamical symmetries of the Klein-Gordon equation

2008-05-30

arxiv.org/abs/0805.4723v3

J.Math.Phys.50:032301,2009

Physics

Quantum Physics

4 p

Scientific paper

10.1063/1.3089583

The dynamical symmetries of the two-dimensional Klein-Gordon equations with equal scalar and vector potentials (ESVP) 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.

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