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Canadian Journal of Physics, Vol. 91, No. 5. (14 Feb 2013), pp. 373-377, doi:10.1139/cjp-2012-0479 Key: citeulike:12029988
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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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