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arXiv · 1209.2050

Role of the non-locality of the vector potential in the Aharonov-Bohm effect

A. M. Stewart
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Abstract

When the electromagnetic potentials are expressed in the Coulomb gauge in terms of the electric and magnetic fields rather than the sources responsible for these fields they have a simple form that is non-local i.e. the potentials depend on the fields at every point in space. It is this non-locality of classical electrodynamics that is at first instance responsible for the puzzle associated with the Aharonov-Bohm effect: that its interference pattern is affected by fields in a region of space that the electron beam never enters.

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A. M. Stewart. 2012-09-02. Role of the non-locality of the vector potential in the Aharonov-Bohm effect. https://doi.org/10.1139/cjp-2012-0479

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