The pedagogical value of the four-dimensional picture: III. Solutions to Maxwell's equations

We outline a regular way for solving Maxwell's equations. We take, as the starting point, the notion of vector potentials. The rationale for introducing this notion in electrodynamics is that the set of Maxwell's equations is seemingly overdetermined. We demonstrate the existence of two fu...

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Bibliographic Details
Published inEuropean journal of physics Vol. 37; no. 4; pp. 45202 - 45211
Main Authors Chubykalo, Andrew E, Espinoza, Augusto, Kosyakov, B P
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2016
Subjects
Electrodynamics
Electromagnetic fields
fundamental solutions of Maxwell's equations
gauge fields
Maxwell's equations
Pictures
Vector potentials
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Summary:We outline a regular way for solving Maxwell's equations. We take, as the starting point, the notion of vector potentials. The rationale for introducing this notion in electrodynamics is that the set of Maxwell's equations is seemingly overdetermined. We demonstrate the existence of two fundamental solutions to Maxwell's equations whose linear combinations comprise the whole variety of classical electromagnetic field configurations.
Bibliography:EJP-101581.R1
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0143-0807
1361-6404
DOI:10.1088/0143-0807/37/4/045202