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Tensorial representation of the Dirac equation
Authors:Murray Muraskin
Institution:(1) University of North Dakota, Grand Forks, North Dakota
Abstract:We discuss tensor representations of the Dirac equation using a geometric approach. We find that the mass zero Dirac equations can be represented by Maxwell equations having a source which obeys the empty space wave equation. We also obtain a relation for the source in terms ofE andH. In the case of mass not equal to zero a difficulty is encountered in removing the constant spinors¯chi Aand¯thetav A.We find that the arbitrary constant spinors can be eliminated in a spinor theory based on the Klein-Gordon equation.
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