Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-09-15
Int.J.Math.Math.Sci.31:77-84,2002
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, no figures; the final version (mainly with linguistic corrections) for publication in the "International Journal of M
Scientific paper
Clifford number formalism for Maxwell equations is considered. The Clifford imaginary unit for space-time is introduced as coordinate independent form of fully antisymmetric fourth-rank tensor. The representation of Maxwell equations in massless Dirac equation form is considered; we also consider two approaches to the invariance of Dirac equation in respect of the Lorentz transformations. According to the first approach, the unknown column is invariant and according to the second approach it has the transformation properties known as spinorial ones. Clifford number representation for nonlinear electrodynamics equations is obtained. From this representation, we obtain the nonlinear like Dirac equation which is the form of nonlinear electrodynamics equations. As a special case we have the appropriate representations for Born-Infeld nonlinear electrodynamics.
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