dorsal/arxiv
View SchemaClassical Electromagnetism as a Consequence of Coulomb's Law, Special Relativity and Hamilton's Principle and its Relationship to Quantum Electrodynamics
| Authors | J. H. Field |
|---|---|
| Categories | |
| ArXiv ID | physics/0501130 |
| URL | https://arxiv.org/abs/physics/0501130 |
| Journal | Phys.Scripta 74 (2006) 702-717 |
Abstract
It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special relativity and Hamilton's Principle. The instantaneous nature of the Coulomb force in the centre-of-mass frame of two interacting charged objects, mediated by the exchange of space-like virtual photons, is predicted by QED. The interaction Lagrangian of QED is shown to be identical, in the appropriate limit, to the potential energy term in the Lorentz-invariant Lagrangian of CEM. A comparison is made with the Feynman-Wheeler action-at-a-distance formulation of CEM.
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"abstract": "It is demonstrated how all the mechanical equations of classical\nelectrodynamics (CEM) may be derived from only Coulomb\u0027s inverse square force\nlaw, special relativity and Hamilton\u0027s Principle. The instantaneous nature of\nthe Coulomb force in the centre-of-mass frame of two interacting charged\nobjects, mediated by the exchange of space-like virtual photons, is predicted\nby QED. The interaction Lagrangian of QED is shown to be identical, in the\nappropriate limit, to the potential energy term in the Lorentz-invariant\nLagrangian of CEM. A comparison is made with the Feynman-Wheeler\naction-at-a-distance formulation of CEM.",
"arxiv_id": "physics/0501130",
"authors": [
"J. H. Field"
],
"categories": [
"physics.class-ph"
],
"journal_ref": "Phys.Scripta 74 (2006) 702-717",
"title": "Classical Electromagnetism as a Consequence of Coulomb\u0027s Law, Special Relativity and Hamilton\u0027s Principle and its Relationship to Quantum Electrodynamics",
"url": "https://arxiv.org/abs/physics/0501130"
},
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