The Aharonov-Casher effect for spin-1 particles in non-commutative quantum mechanics

TL;DR

This paper explores how non-commutative quantum mechanics modifies the Aharonov-Casher effect for spin-1 particles, providing new corrections to the topological phase using a generalized Bopp's shift approach.

Contribution

It introduces a novel application of the Bopp's shift method to analyze the AC effect for spin-1 particles in non-commutative spaces, extending previous work.

Findings

Derived corrections to the AC phase in NC space

Derived corrections to the AC phase in NC phase space

Demonstrated the impact of non-commutativity on topological phases

Abstract

By using a generalized Bopp's shift formulation, instead of star product method, we investigate the Aharonov-Casher(AC) effect for a spin-1 neutral particle in non-commutative(NC) quantum mechanics. After solving the Kemmer equations both on a non-commutative space and a non-commutative phase space, we obtain the corrections to the topological phase of the AC effect for a spin-1 neutral particle both on a NC space and a NC phase space.