Classical Electrodynamics without Fields and the Aharonov-Bohm effect

Details Classical Electrodynamics without Fields and the Aharonov-Bohm effect Classical Electrodynamics without Fields and the Aharonov-Bohm effect

2008-03-09

arxiv.org/abs/0803.1326v2

Physics

General Physics

15 pages, 2 figures; v2 - minor changes

Scientific paper

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.

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