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

Abstract

In this work, we discuss the relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Dirac neutral particle under the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects. We present new possible scenarios of studying Lorentz symmetry breaking effects by fixing the space-like vector field background in special configurations. It is worth mentioning that we use the criterion for studying the violation of Lorentz symmetry is that the gauge symmetry should be preserved.

16 pages, no figures. arXiv admin note: text overlap with arXiv:1208.6482

References in corpus (14)

• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Constraints on CPT violation from WMAP three year polarization data: a wavelet analysis
• Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory
• Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Lorentz-CPT violation, radiative corrections and finite temperature
• Testing CPT Symmetry with CMB Measurements
• On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator
• CPT and Lorentz violation effects in hydrogen-like atoms
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• The Casimir Force in a Lorentz Violating Theory
• Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment