Generalized quantum oscillator under harmonic-type central potential effects induced by Lorentz symmetry violation environment(a)

Abstract

Abstract In this paper, we study a relativistic quantum oscillator model via the generalized Klein-Gordon oscillator equation under harmonic-type central potential effects induced by the violation of the Lorentz symmetry. We determine solutions of the wave equation for Coulomb- and Cornell-type potential functions using the Nikiforov-Uvarov method and analyze the effects on the energy profile and the wave function of the oscillator fields.