Eur. Phys. J. C (2008) 54: 333-337
https://doi.org/10.1140/epjc/s10052-008-0522-9

Regular Article - Theoretical Physics

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

¹ School of Physics Science and Technology, Xinjiang University, Urumqi, 830046, P.R. China
² Department of Physics, Hangzhou Normal University, Hangzhou, 310036, P.R. China
³ The Abdus Salam International Center for Theoretical Physics, Trieste, Italy

^* e-mail: kangli@hznu.edu.cn

Received: 18 August 2007
Revised: 4 December 2007
Published online: 1 February 2008

Abstract

By using a generalized Bopp’s shift formulation, instead of the 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.