2008
DOI: 10.48550/arxiv.0803.1326
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Classical Electrodynamics without Fields and the Aharonov-Bohm effect

Eugene V. Stefanovich

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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Cited by 1 publication
(2 citation statements)
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“…Several other non-conventional explanations of the Aharonov-Bohm effect were also suggested in the literature [SC92, Wes98, Pin04, HN08]. Here we suggest a different explanation [Ste08].…”
Section: Aharonov-bohm Experimentssupporting
confidence: 54%
See 1 more Smart Citation
“…Several other non-conventional explanations of the Aharonov-Bohm effect were also suggested in the literature [SC92, Wes98, Pin04, HN08]. Here we suggest a different explanation [Ste08].…”
Section: Aharonov-bohm Experimentssupporting
confidence: 54%
“…The speed of light is c = 2.998 × 10 10 cm/s; the Planck constant is = 1.054 × 10 −27 erg • s, so the fine structure constant is α ≡ e 2 /(4π c) ≈ 1/137. The new material contained in this book was partially covered in six articles [Ste01,Ste96,Ste02,Ste05,Ste06,Ste08].…”
Section: Prefacementioning
confidence: 99%