The topological AC effect on non-commutative phase space

@article{Li2006TheTA,
  title={The topological AC effect on non-commutative phase space},
  author={Kang Li and Jian-hua Wang},
  journal={The European Physical Journal C},
  year={2006},
  volume={50},
  pages={1007-1011}
}
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. 

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