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

TL;DR

This paper studies how Lorentz symmetry breaking and external fields influence a generalized Klein-Gordon oscillator, providing analytical solutions and revealing dependence of the oscillator's frequency on quantum numbers.

Contribution

It introduces a novel analysis of the Klein-Gordon oscillator under Lorentz symmetry breaking with external fields and scalar potentials, deriving analytical solutions.

Findings

Analytical solutions for the generalized Klein-Gordon oscillator are obtained.

The angular frequency depends on quantum numbers.

Lorentz symmetry breaking affects the oscillator's behavior.

Abstract

We investigate the generalized Klein-Gordon 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 Klein-Gordon oscillator can be achieved and the angular frequency of the oscillator depends on the quantum numbers of the system