Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment

Abstract

We introduce a new term into the Dirac equation based on the Lorentz symmetry violation background in order to make a theoretical description of the relativistic quantum dynamics of a spin-half neutral particle, where the wave function of the neutral particle acquires a relativistic Abelian quantum phase given by the interaction between a fixed time-like 4-vector background and crossed electric and magnetic fields, which is analogous to the geometric phase obtained by Wei \textit{et al} [H. Wei, R. Han and X. Wei, Phys. Rev. Lett. \textbf{75}, 2071 (1995)] for a spinless neutral particle with an induced electric dipole moment. We also discuss the flux dependence of energy levels of bound states analogous to the Aharonov-Bohm effect for bound states.

arXiv comment16 pages, no figures

References in corpus (5)

• Lorentz-Violating Extension of the Standard Model
• Non-Minimal Coupling to a Lorentz-Violating Background and Topological Implications
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Solid State Analog for He-McKellar-Wilkens Quantum Phase

Cited by in corpus (24)

• 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
• A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry
• Radiative generation of the CPT-even gauge term of the SME from a dimension-five nonminimal coupling term
• An investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations
• 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 in $N=1$-Supersymmetric Scenario
• On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects
• Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
• Relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects
• 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
• Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Testing Lorentz-symmetry violation via electroweak decays
• On plane wave solutions in Lorentz-violating extensions of gravity
• On the Geometric Phase and Majorana Neutrinos
• Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field
• Lorentz-symmetry violation in the electroweak sector: scattering processes in future $e^{+}{e}^{-}$ colliders