Aharonov-Bohm Effect in Noncommutative Spaces

Details Aharonov-Bohm Effect in Noncommutative Spaces Aharonov-Bohm Effect in Noncommutative Spaces

2000-12-19

arxiv.org/abs/hep-th/0012175v2

Phys.Lett.B527:149-154,2002

Physics

High Energy Physics

High Energy Physics - Theory

2nd version, some clarifications added, the results compared with the existing experimental data

Scientific paper

10.1016/S0370-2693(02)01176-0

The Aharonov-Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding shift in the phase of the particle propagator due to the magnetic field of a thin solenoid receives certain gauge invariant corrections because of the noncommutativity. Evaluating the numerical value for this correction, an upper bound for the noncommutativity parameter is obtained.

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