Comments on the Aharonov-Bohm Effect

In the original setting of Aharonov-Bohm, gauge invariant physical longitudinal mode vector potential, which is written by current $(-e)\bar{\psi}{\boldsymbol \gamma} \psi$, gives desired contribution to Aharonov-Bohm effect. While scalar changes under transformation so that it unphysical mode, give no Then effect really occurs in Aharonov-Bohm's setting. Tonomura {\it et al.}, where magnet shielded with superconducting material, not only magnetic field but also potential become massive Meissner does come out region electron travels. such setting, exists travels, there from mode. Then, theoretically, occur al.}'s quantum theory, treated as wave, and change phase, classical particle, existing angular momentum. For concept