On the relation between the Maxwell system and the Dirac equation

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A simple relation between the Maxwell system and the Dirac equation based on their quaternionic reformulation is discussed. We establish a close connection between solutions of both systems as well as a relation between the wave parameters of the electromagnetic field and the energy of the Dirac particle.
Submitted the 18 of Dec., 2001 to Proceedings of 4th WSEAS Int. Conf. on Mathematics and Computers in Physics, Cancun, Mexico, May 12-16, 2002

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