English

Classical Electrodynamics without Fields and the Aharonov-Bohm effect

General Physics 2008-03-19 v2

Abstract

The Darwin-Breit Hamiltonian is applied to the Aharonov-Bohm experiment. In agreement with the standard Maxwell-Lorentz theory, the force acting on electrons from infinite solenoids or ferromagnetic rods vanishes. However, the interaction energies and phase factors of the electron wave packets are non-zero. This allows us to explain the Aharonov-Bohm effect without involvement of electromagnetic potentials, fields, and topological properties of space.

Keywords

Cite

@article{arxiv.0803.1326,
  title  = {Classical Electrodynamics without Fields and the Aharonov-Bohm effect},
  author = {Eugene V. Stefanovich},
  journal= {arXiv preprint arXiv:0803.1326},
  year   = {2008}
}

Comments

15 pages, 2 figures; v2 - minor changes

R2 v1 2026-06-21T10:20:00.948Z