Eur. Phys. J. C (2006) 46: 825-828
https://doi.org/10.1140/epjc/s2006-02538-2

Theoretical Physics

The Aharonov–Bohm effect in noncommutative quantum mechanics

¹ Department of Physics, Hangzhou Teachers College, Hangzhou, 310036, P.R. China
² Department of Physics, Xinjiang University, Urumqi, 830046, P.R. China
³ The Abdus Salam International Center for Theoretical Physics, Trieste, Italy

^* e-mail: dulat98@yahoo.com

Received: 25 August 2005
Revised: 22 February 2006
Published online: 12 April 2006

Abstract

The Aharonov–Bohm effect in noncommutative (NC) quantum mechanics is studied. First, by introducing a shift for the magnetic vector potential we give the Schrödinger equations in the presence of a magnetic field on NC space and NC phase space, respectively. Then, by solving the Schrödinger equations, we obtain the Aharonov–Bohm phase on NC space and NC phase space, respectively.