Title: An accessible four-dimensional treatment of Maxwell's equations in terms of differential forms
Abstract: Maxwell's equations are derived in terms of differential forms in the four-dimensional Minkowski representation, starting from the three-dimensional vector calculus differential version of these equations. Introducing all the mathematical and physical concepts needed (including the tool of differential forms), using only knowledge of elementary vector calculus and the local vector version of Maxwell's equations, the equations are reduced to a simple and elegant set of two equations for a unified quantity, the electromagnetic field. The treatment should be accessible for students taking a first course on electromagnetism.
Publication Year: 2017
Publication Date: 2017-01-25
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 1
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