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.
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11.10.Nx, 03.65.-w
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Li, K., Dulat, S. The Aharonov–Bohm effect in noncommutative quantum mechanics. Eur. Phys. J. C 46, 825–828 (2006). https://doi.org/10.1140/epjc/s2006-02538-2
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DOI: https://doi.org/10.1140/epjc/s2006-02538-2