The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics

Details The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics

2005-08-25

arxiv.org/abs/hep-th/0508193v3

Eur.Phys.J.C46:825-828,2006

Physics

High Energy Physics

High Energy Physics - Theory

5 RevTex pages, references added, typos corrected

Scientific paper

10.1140/epjc/s2006-02538-2

The Aharonov-Bohm (AB) effect in non-commutative quantum mechanics (NCQM) is studied. First, by introducing a shift for the magnetic vector potential we give the Schr$\ddot{o}$dinger equations in the presence of a magnetic field on NC space and NC phase space, respectively. Then by solving the Schr$\ddot{o}$dinger equations, we obtain the Aharonov-Bohm (AB) phase on NC space and NC phase space, respectively.

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