Potential Theory in Classical Electrodynamics: Difference between revisions
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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.<br />[[Category:Scientific Paper]] | 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.<br /> | ||
[[Category:Scientific Paper|potential theory classical electrodynamics]] | |||
[[Category:Electrodynamics]] | [[Category:Electrodynamics]] | ||
Revision as of 12:55, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | Potential Theory in Classical Electrodynamics |
| Read in full | Link to paper |
| Author(s) | Wolfgang Engelhardt |
| Keywords | Classical Electrodynamics, Maxwell?s equations |
| Published | 2012 |
| Journal | None |
| No. of pages | 8 |
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.