Open Access
2012 Complex Representation Theory of the Electromagnetic Field
Andreas Aste
J. Geom. Symmetry Phys. 28: 47-58 (2012). DOI: 10.7546/jgsp-28-2012-47-58


A concise discussion of the three-dimensional irreducible (1,0) and (0,1) representations of the restricted Lorentz group and their application to the description of the electromagnetic field is given. It is shown that a mass term is in conflict with relativistic invariance of a formalism using electric and magnetic fields only, contrasting the case of the two-component Majorana field equations. An important difference between the Dirac equation and the Dirac form of Maxwell's equations is highlighted by considering the coupling of the electromagnetic field to the electric current.


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Andreas Aste. "Complex Representation Theory of the Electromagnetic Field." J. Geom. Symmetry Phys. 28 47 - 58, 2012.


Published: 2012
First available in Project Euclid: 26 May 2017

zbMATH: 1295.78004
MathSciNet: MR3114814
Digital Object Identifier: 10.7546/jgsp-28-2012-47-58

Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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