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

TL;DR

This paper explores how Lorentz symmetry violation influences quantum phases and bound states of neutral particles, revealing new effects like the He-McKellar-Wilkens and Scalar Aharonov-Bohm phenomena.

Contribution

It demonstrates that Lorentz symmetry violation backgrounds induce abelian quantum phases and modifies bound states for neutral particles, a novel insight into quantum effects under symmetry violation.

Findings

Lorentz violation yields abelian quantum phases for neutral particles.

Nonrelativistic bound states are affected by Lorentz symmetry violation.

New quantum effects are predicted due to the Lorentz symmetry violation background.

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.