Classical Electrodynamics without Fields and the Aharonov-Bohm effect

Eugene V. Stefanovich

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arXiv · 0803.1326

Classical Electrodynamics without Fields and the Aharonov-Bohm effect

Eugene V. Stefanovich

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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.

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Eugene V. Stefanovich. 2008-03-19. Classical Electrodynamics without Fields and the Aharonov-Bohm effect. https://arxiv.org/abs/0803.1326

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