Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems

Abstract

In this paper, the relativistic quantum dynamics of a scalar particle under the effect of Lorentz symmetry violation determined by a tensor (KF)μ\,\,α\,β out of the Standard Model Extension is investigated. We see that the bound-state solution of the modified Klein-Gordon equation can be obtained, and the spectrum of energy and the wave function depends on the Lorentz symmetry breaking parameters

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