Completing Maxwell's equations by symmetrization

Maxwell's equations have allowed to obtain, for more than 100 years, a large number of results in electricity, magnetism, optics, wave theory, etc. But the antisymmetry between electric and magnetic fields is not completely respected in Maxwell's equations. By developing a theory where thi...

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Bibliographic Details
Published in:Europhysics letters 2001-01, Vol.53 (2), p.155-161
Main Author: Guillemot, M. G
Format: Article
Language:English
Subjects:
03.50.De
41.20.Gz
Applied classical electromagnetism
Classical and quantum physics: mechanics and fields
Classical electromagnetism, maxwell equations
Classical field theories
Electromagnetism
electron and ion optics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Magnetostatics
magnetic shielding, magnetic induction, boundary-value problems
Physics
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Summary:Maxwell's equations have allowed to obtain, for more than 100 years, a large number of results in electricity, magnetism, optics, wave theory, etc. But the antisymmetry between electric and magnetic fields is not completely respected in Maxwell's equations. By developing a theory where this antisymmetry is respected, a more complete set of equations is obtained in which the electromagnetic tensor is the divergence of a third-order tensor made up from electric and magnetic potentials. In particular, the Lorentz equations are included in these divergence equations and do not appear as a necessary trick. Electric fields produced by rotating magnets are then deduced.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2001-00130-3