Effective Interaction Force between an Electric Charge and a Magnetic Dipole and Locality (or Nonlocality) in Quantum Effects of the Aharonov-Bohm Type

Classical electrodynamics foresees that the effective interaction force between a moving charge and a magnetic dipole is modified by the time-varying total momentum of the interaction fields. We derive the equations of motion of the particles from the total stress-energy tensor, assuming the validity of Maxwell's equations and the total momentum conservation law. Applications to the effects of Aharonov-Bohm type show that the observed phase shift may be due to the relative lag between interfering particles caused by the effective local force.

Automated summary

Classical electrodynamics predicts that the interaction force between a moving charge and a magnetic dipole is affected by the time-varying total momentum of the interaction fields. The equations of motion for particles are derived from the total stress-energy tensor, assuming the validity of Maxwell's equations and the conservation of total momentum. Applications to the Aharonov-Bohm effects suggest that the observed phase shift may be attributed to the relative lag between interfering particles caused by the effective local force.