A New Formulation of Maxwell’s Equations in Clifford Algebra
| Autor: | Pirooz Mohazzabi, Norbert J. Wielenberg, Gary Clark Alexander |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Multivector
Pure mathematics Algebra of physical space 010102 general mathematics Clifford algebra Inhomogeneous electromagnetic wave equation Clifford analysis 01 natural sciences Classification of Clifford algebras 0103 physical sciences Electromagnetic four-potential 010307 mathematical physics 0101 mathematics Mathematical physics Electromagnetic tensor Mathematics |
| Zdroj: | Journal of Applied Mathematics and Physics. :1575-1588 |
| ISSN: | 2327-4379 2327-4352 |
| DOI: | 10.4236/jamp.2017.58130 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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