He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation

Abstract

In this contribution, we discuss the He-McKellar-Wilkens effect and the Scalar Aharonov-Bohm effect for neutral particles based on the Lorentz symmetry violation background, by showing that the background of the Lorentz symmetry violation yields abelian quantum phases for a neutral particle. We also study the nonrelativistic bound states for a neutral particle interacting with a Coulomb-like potential based on the Lorentz symmetry violation background given by a fixed vector field parallel to the radial direction.

J. Phys. G: Nucl. Part. Phys. 39 055004

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• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
• 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
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• 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
• Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms
• Lorentz violation in simple QED processes
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
• Aspects of Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections
• Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• Optical and spin-optical superpositions modulated by Aharonov-Bohm effect
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field
• Fermions in $(1+2)$-dimensions modified by nonminimal coupling and its applications to condensed matter physics
• Dirac fermions with electric dipole moment and position-dependent mass in the presence of a magnetic field generated by magnetic monopoles
• Thermodynamics and emergent thermomechanical response of a quantum ring with nonminimal spin--orbit coupling