2004/08/31 by Daniel Henry Gottlieb, Gottlieb, Daniel Henry
Computer Science · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computational Physics and Python Applications #FOS: Physical sciences #Geophysical and Geoelectrical Methods #Mathematical Physics (math-ph) #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0409001
11 pages, also found at http://www.math.purdue.edu/~gottlieb/Bibliography/bib.html
arxiv created 2004/08/31 · openalex publication_date 2004/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.