Aharonov–Bohm Effect under Self-duality Condition of Electromagnetic Field

Abstract

We discuss the situation of Aharonov–Bohm effect under self-duality condition of electromagnetic field, where there is no exact cancellation of the AB(t) phase shift because this phase shift is complex. This means that the time-dependent AB effect, magnetic AB phase shift is not canceled out by a phase shift coming from the Lorentz force with E=−∂_tA. Our approach can be compared with the results obtained by other authors which have shown that AB(t) effect vanishes for Abelian electromagnetic plane waves.