Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background

TL;DR

This paper investigates the Aharonov-Casher effect within a Lorentz-violating background, deriving bound state energies using self-adjoint extension methods to account for the nonminimal coupling.

Contribution

It introduces a novel analysis of the Aharonov-Casher problem considering Lorentz violation and employs self-adjoint extension techniques to find bound state energies.

Findings

Derived explicit expression for bound state energies

Identified the role of self-adjoint extension parameter

Enhanced understanding of Lorentz-violating effects in quantum phases

Abstract

The Aharonov-Casher problem in the presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field is examined. Using an approach based on the self-adjoint extension method, an expression for the bound state energies is obtained in terms of the physics of the problem by determining the self-adjoint extension parameter.