Abstract
This paper states that the induced charge should not be neglected in the electric Aharonov-Bohm (A-B) 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 scalar 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.
Highlights
In classical physics, the concept of “force” is the most important, all the phenomena can be explained by the forces acting on the objects
No induced charge appearing on the surfaces of the metal tubes means that the electric field of the moving charge exists in all the space
Why does not the phase shift predicted by the electric A-B effect appear if the induced charge is included? Because, if there were no induced charge on the surfaces of the metal tubes, the electric field of the moving charge would exist in all the space, this field could penetrate the metal tubes and overlap with the electric field between the two tubes applied by the external voltage generator
Summary
This paper states that the induced charge should not be neglected in the electric Aharonov-Bohm (A-B) 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 is found that a very important factor was neglected in their paper[2], which is the induced charge on the inner surfaces of the metal tubes If this induced charge is taken into account, we will find that the phase of the moving charge will not change with the electric potential difference between two metal tubes. No induced charge appearing on the surfaces of the metal tubes means that the electric field of the moving charge exists in all the space. When the two beams meet at the screen, the interference pattern will not change with U(t), i.e. the phase shift as eq (8) predicted by the electric A-B effect will not appear
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