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In this work, we discuss the relativistic Landau-He-McKellar-Wilkensquantization and relativistic bound states solutions for a Dirac neutralparticle under the influence of a Coulomb-like potential induced by the Lorentzsymmetry breaking effects. We present new possible scenarios of studyingLorentz symmetry breaking effects by fixing the space-like vector fieldbackground in special configurations. It is worth mentioning that we use thecriterion for studying the violation of Lorentz symmetry is that the gaugesymmetry should be preserved.

annals of physics

Relativistic Landau-He-McKellar-Wilkens quantization and relativistic  bound states solutions for a Coulomb-like potential induced by the Lorentz  symmetry breaking effects