The He-McKellar-Wilkens effect for spin one particles in non-commutative quantum mechanics

TL;DR

This paper investigates the He-McKellar-Wilkens effect for spin-one particles within non-commutative quantum mechanics, deriving explicit phase contributions due to space-space and momentum-momentum non-commutativity.

Contribution

It provides a novel analysis of the HMW effect for spin-one particles in non-commutative spaces, deriving explicit topological phases considering non-commutativity.

Findings

Derived topological HMW phases on NC space and phase space

Explicit expressions for additional non-commutative terms

Extended understanding of quantum phases in non-commutative settings

Abstract

The He-McKellar-Wilkens(HMW) effect for spin one neutral particle in non-commutative quantum mechanics is studied. By solving the Kemmer like equations on non-commutative (NC) space and non-commutative phase space, we obtain topological He-McKellar-Wilkens phase on NC space and NC phase space respectively, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.