A proposal for investigating three-body forces in Aharonov-Bohm sytems

TL;DR

This paper proposes investigating three-body forces in Aharonov-Bohm systems to understand momentum exchanges and the nature of forces, despite the absence of a force on the electron itself.

Contribution

It introduces a novel approach to study momentum changes and forces in Aharonov-Bohm systems involving three-body interactions.

Findings

Momentum changes of mechanical oscillators are equal and opposite to electromagnetic field changes.

The electron exerts a force on the solenoid, related to the Aharonov-Bohm phase.

Discussion on magnetic field shielding effects in AB systems.

Abstract

Although there is no force on the electron in Aharonov-Bohm solenoid effect, the electron exerts a force on the solenoid related to the inequality of action and reaction forces of two subsystems in three-system configuration. The AB phase which is related to the force exerted by the electron on the solenoid . The momentum changes of the mechanical oscillator are equal in magnitude and opposite in sign to the changes in the momentum of the em fields. It is proposed to investigate momentum changes of "micro" bodies producing magnetic fields in AB systems which will clarify the nature of these effects. The problem of magnetic fields shielded from the electron wave packet is also discussed.