Influence of Induced Charges in the Electric Aharonov-Bohm Effect

TL;DR

This paper argues that induced charges must be considered in the electric Aharonov-Bohm effect, showing that the interference pattern is unaffected by potential difference when these charges are included, highlighting the role of system energy in phase shifts.

Contribution

It demonstrates that including induced charges alters the understanding of phase shifts in the electric Aharonov-Bohm effect, challenging previous assumptions about potential influence.

Findings

Interference pattern remains unchanged with potential difference when induced charges are considered.

The phase of the moving charge depends on the total system energy, not just the potential.

Induced charges are essential for accurate analysis of the electric Aharonov-Bohm effect.

Abstract

This paper states that the induced charge should not be neglected in the electric Aharonov-Bohm effect. If the induced charge is taken into account, the interference pattern of the moving charge will not change with the potential difference between the two metal tubes. It means that the scale potential itself can not affect the phase of the moving charge, and the true factor affecting the phase of the moving charge is the energy of the system including the moving charge and the induced charge.