Semiclassical Approach of Lorentz Symmetry Breaking Effects at a Low Energy Scenario

Abstract

From backgrounds of the Lorentz symmetry breaking implemented by the tensor $\left (K_{F}\right )_{\mu \nu \alpha \beta }$ , we analyze the effects of the Lorentz symmetry violation at a low energy scenario from a semiclassical point of view by using the Wentzel, Kramers and Brillouin approximation. We show that the interaction of a neutral particle with electric and magnetic fields in the background defined by the tensor $\left (K_{F}\right )_{\mu \nu \alpha \beta }$ yields attractive scalar potentials, and thus, bound state solutions to the Schrodinger equation can be obtained.