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
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.
© Springer-Verlag, 2006
