dorsal/arxiv
View SchemaA Classical Explanation of the Bohm-Aharonov Effect
| Authors | O. Chavoya-Aceves |
|---|---|
| Categories | |
| ArXiv ID | physics/0404031 |
| URL | https://arxiv.org/abs/physics/0404031 |
Abstract
The motion of a system of particles under electromagnetic interaction is considered. Under the assumption that the force acting on an electric charge is given by the sum of the electromagnetic fields produced by any other charged particles in its neighborhood, we prove that the vector potential of the electromagnetic field has to be considered for the balance of kinetic momentum. The theory cannot be quantized in the usual form -- because it involves a mass matrix that depends on spatial variables -- and the Hamilton's function becomes singular at a distance equal to the geometric mean of the electrodynamic radiuses of electrons and protons.
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"abstract": "The motion of a system of particles under electromagnetic interaction is\nconsidered. Under the assumption that the force acting on an electric charge is\ngiven by the sum of the electromagnetic fields produced by any other charged\nparticles in its neighborhood, we prove that the vector potential of the\nelectromagnetic field has to be considered for the balance of kinetic momentum.\nThe theory cannot be quantized in the usual form -- because it involves a mass\nmatrix that depends on spatial variables -- and the Hamilton\u0027s function becomes\nsingular at a distance equal to the geometric mean of the electrodynamic\nradiuses of electrons and protons.",
"arxiv_id": "physics/0404031",
"authors": [
"O. Chavoya-Aceves"
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"title": "A Classical Explanation of the Bohm-Aharonov Effect",
"url": "https://arxiv.org/abs/physics/0404031"
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