Interpretation of the Aharonov-Bohm and the Aharonov-Casher Effects in Terms of Classical Electromagnetic Fields

When an electric charge passes past a stationary current loop the time-varying fields induce changes of the internal energy of the loop. The magnetic flux of the loop also changes and, by Faraday's law, creates a radiation electric field which acts back on the particle. This interaction produces a classical electromagnetic lag which generates the phase shifts of the wave function foreseen by these effects. A possible experimental test is proposed.