Maxwell's Equations

Details Maxwell's Equations Maxwell's Equations

2004-08-31

arxiv.org/abs/math-ph/0409001v1

Physics

Mathematical Physics

11 pages, also found at http://www.math.purdue.edu/~gottlieb/Bibliography/bib.html

Scientific paper

We express Maxwell's equations as a single equation, first using the divergence of a special type of matrix field to obtain the four current, and then the divergence of a special matrix to obtain the Electromagnetic field. These two equations give rise to a remarkable dual set of equations in which the operators become the matrices and the vectors become the fields. The decoupling of the equations into the wave equation is very simple and natural. The divergence of the stress energy tensor gives the Lorentz Law in a very natural way. We compare this approach to related descriptions of Maxwell's equations by biquaternions and Clifford algebras.

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