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 (42)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• Modern tests of Lorentz invariance
• Physical Aspects of the Space-Time Torsion
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• 1/2-Anyons in small atomic Bose-Einstein condensates
• Nonrelativistic Quantum Hamiltonian for Lorentz Violation
• Topological phase due to electric dipole moment and magnetic monopole interaction
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• Non-Minimal Coupling to a Lorentz-Violating Background and Topological Implications
• Topological Phases in Graphitic Cones
• Classical and Quantum Interaction of the Dipole
• Dirac theory within the Standard-Model Extension
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Supersymmetry and Lorentz Violation
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Towards a quantum Hall effect for atoms using electric fields
• Landau Levels Analog to Electric Dipole
• Regularisation : many recipes, but a unique principle : Ward identities and Normalisation conditions. The case of CPT violation in QED
• QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector
• Chiral Anomaly and CPT invariance in an implicit momentum space regularization framework
• 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
• Induced Lorentz- and CPT-violating Chern-Simons term in QED: Fock-Schwinger proper time method
• Lorentz-CPT violation, radiative corrections and finite temperature
• Supersymmetric Extension of the Lorentz and CPT-Violating Maxwell-Chern-Simons Model
• Testing CPT Symmetry with CMB Measurements
• CPT and Lorentz violation effects in hydrogen-like atoms
• On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• Remarks on the Causality, Unitarity and Supersymmetric Extension of the Lorentz and CPT-Violating Maxwell-Chern-Simons Model
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• The Casimir Force in a Lorentz Violating Theory
• Relativistic Landau quantization for a neutral particle
• He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation
• Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment
• Effects of Anomalous Magnetic Moment in the Quantum Motion of Neutral Particle in Magnetic and Electric Fields Produced by a Linear Source in a Conical Spacetime
• Casimir effect within D=3+1 Maxwell-Chern-Simons electrodynamics
• Relativistic Landau problem at finite temperature

Cited by in corpus (13)

• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• On a relativistic scalar particle subject to the Klein-Gordon oscillator, the Coulomb potential and a linear scalar potential
• The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
• Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field
• Constraining CPT-even and Lorentz-violating nonminimal couplings with the electron magnetic and electric dipole moments
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
• Decays $Z\to \gamma \gamma$ and $Z\to gg$ in the Standard Model Extension
• On one-loop corrections in the non-minimal dimension-five extension of QED
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field