Tensorial Representation of the Dirac Equation
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 of E and H. In the case of mass not equal to zero a difficulty is encountered in removing the constant spinors ¯χ _{A}and ¯ϑ _{A}.We find that the arbitrary constant spinors can be eliminated in a spinor theory based on the KleinGordon equation.
 Publication:

International Journal of Theoretical Physics
 Pub Date:
 January 1970
 DOI:
 10.1007/BF00674008
 Bibcode:
 1970IJTP....3...33M