Relativistic quantum oscillator model under the effects of the violation of Lorentz symmetry by an arbitrary fixed vector field

Abstract

We study a spin-zero relativistic quantum oscillator model under the violation of Lorentz symmetry defined by an arbitrary constant vector field . We solve the Klein-Gordon oscillator using the Nikiforov-Uvarov method and obtain the bound-states solutions of the quantum system. We see that vector field configurations modify the energy profile of the oscillator fields.