Author(s)

Pirooz Mohazzabi¹, Norbert J. Wielenberg¹, Gary Clark Alexander²

¹Department of Mathematics and Physics, University of Wisconsin-Parkside, Kenosha, WI, USA.
²Department of Mathematical Sciences, DePaul University, Chicago, IL, USA.

A new unification of the Maxwell equations is given in the domain of Clifford algebras with in a fashion similar to those obtained with Pauli and Dirac algebras. It is shown that the new electromagnetic field multivector can be obtained from a potential function that is closely related to the scalar and the vector potentials of classical electromagnetics. Additionally it is shown that the gauge transformations of the new multivector and its potential function and the Lagrangian density of the electromagnetic field are in agreement with the transformation rules of the second-rank antisymmetric electromagnetic field tensor, in contrast to the results obtained by applying other versions of Clifford algebras.

Clifford Algebra, Maxwell’s Equations, Electromagnetism, Vector, Potential

Mohazzabi, P. , Wielenberg, N. and Alexander, G. (2017) A New Formulation of Maxwell’s Equations in Clifford Algebra. Journal of Applied Mathematics and Physics, 5, 1575-1588. doi: 10.4236/jamp.2017.58130.