The Aharonov-Bohm Effect
"AB showed that one of the results of elementary quantum theory is that there are
physical effects on charged particles in regions in which the electromagnetic field
is nonexistant. The controversial features of the AB effect concern its interpretation;
there is no disagreement as to the effect itself. The interpretation problem arises
because the charge particles are influenced although they always move in field free
regions. Hence the key question of the AB effect concerns localization and
action-at-a-distance. AB claimed a special significance for the electromagnetic
potentials because they are non-zero 'where the action is,' whereas the fields are
zero in the regions to which the charged particles are confined."
Herman Erlichson,
Erlichson, 1970