Effects of linear central potential induced by Lorentz symmetry breaking on a generalized Klein–Gordon-Oscillator

Abstract

We investigate the generalized Klein–Gordon (KG)-oscillator under the Lorentz symmetry breaking effects, where a linear electric and constant magnetic field is considered, and analyze its effects on the relativistic quantum oscillator. Furthermore, the behavior of the quantum oscillator in the presence of a Cornell-type scalar potential is analyzed and the solution of the bound state is obtained. We see that the analytical solution to the generalized KG-oscillator can be achieved and the angular frequency of the oscillator depends on the quantum numbers of the system.