Effects of Lorentz symmetry violation by a constant vector field subject to Cornell-type potential on relativistic quantum oscillator

Abstract

In this paper, we analyze a relativistic quantum oscillator model under a Lorentz symmetry violation (LSV) environment defined by an arbitrary constant vector field [Formula: see text] subject to Cornell-type scalar potential. We first introduce the Cornell-type scalar potential by modifying the mass term via [Formula: see text], and then momentum vector [Formula: see text] in the wave equation. We solve the Klein–Gordon oscillator analytically for different vector field configurations and obtained the bound-states energy profiles and the wave function. We discuss the influences of a vector field on the energy eigenvalues and the wave function of these oscillators.