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Potential Theory in Classical Electrodynamics: Difference between revisions

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[[Category:Scientific Paper|potential theory classical electrodynamics]]
[[Category:Scientific Paper|potential theory classical electrodynamics]]


[[Category:Electrodynamics]]
[[Category:Electrodynamics|potential theory classical electrodynamics]]

Latest revision as of 21:50, 1 January 2017

Scientific Paper
TitlePotential Theory in Classical Electrodynamics
Read in fullLink to paper
Author(s)Wolfgang Engelhardt
KeywordsClassical Electrodynamics, Maxwell?s equations
Published2012
JournalNone
No. of pages8

Read the full paper here

Abstract

In Maxwell's classical theory of electrodynamics the fields are frequently expressed by potentials in order to facilitate the solution of the first order system of equations. This method obscures, however, that there exists an inconsistency between Faraday's law of induction and Maxwell's flux law. As a consequence of this internal contradiction there is neither gauge invariance, nor exist unique solutions in general. The retarded integrals, in particular, turn out not to represent proper solutions of the inhomogeneous wave equations.