https://doi.org/10.1140/epjc/s10052-007-0256-0
Regular Article - Theoretical Physics
The topological AC effect on non-commutative phase space
1
Department of Physics, Hangzhou Teachers College, Hangzhou, 310036, P.R. China
2
Department of Physics, Shaanxi University of Technology, Hanzhong, 723001, P.R. China
3
The Abdus Salam International Center for Theoretical Physics, Trieste, Italy
* e-mail: kangli@hztc.edu.cn
Received:
27
September
2006
Revised:
30
December
2006
Published online:
14
March
2007
The Aharonov–Casher (AC) effect in non-commutative (NC) quantum mechanics is studied. Instead of using the star product method, we use a generalization of Bopp’s shift method. After solving the Dirac equations both on non-commutative space and non-commutative phase space by the new method, we obtain corrections to the AC phase on NC space and NC phase space, respectively.
© Springer-Verlag Berlin Heidelberg, 2007