Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background

Abstract

Based on the discussions about the Aharonov-Casher effect in the Lorentz symmetry violation background, we show that the analogue of the relativistic Landau quantization in the Aharonov-Casher setup can be achieved in the Lorentz-symmetry violation background.

11 pages. published in Journal of Mathematical Physics

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Cited by in corpus (11)

• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator
• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
• An investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations
• Relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects
• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms
• On Aharonov-Casher bound states
• A geometric approach to confining a Dirac neutral particle in analogous way to a quantum dot
• Noninertial effects on a Dirac neutral particle inducing an analogue of the Landau quantization in the cosmic string spacetime