Aharonov-Bohm and Aharonov-Casher Effects: Connections to Dynamics of Topological Singularities

P. Ao; Q. Niu

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Aharonov-Bohm and Aharonov-Casher Effects: Connections to Dynamics of Topological Singularities

P. Ao·Q. Niu

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Abstract

We analyze the physical processes involved in the Aharonov-Bohm (A-B) and the Aharonov-Casher (A-C) effects, showing that an incomplete A-B effect knowledge can lead a totally wrong conclusion on the A-C effect. Based on this we demonstrate that the Magnus force, the net force, is the only transverse force on a moving vortex, in analogous to the net charge in A-C effect. This conclusion has been arrived both theoretically and experimentally.

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P. Ao, Q. Niu. 1998-03-10. Aharonov-Bohm and Aharonov-Casher Effects: Connections to Dynamics of Topological Singularities. https://arxiv.org/abs/cond-mat/9803105

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