Equivalence of Daviau's, Hestenes', and Parra's formulations of Dirac theory (Q5932526)

It is shown that Hestenes' and Parra's formulations of Dirac's theory are equivalent to Daviau's Clifford algebra formulation. The connection between different formulations is quite remarkable, since it connects the left and right action on the Pauli algebra itself view as a bi module with the left (resp. right) action of the enveloping algebra. The isomorphism established in this paper and given by Daviau's map does clearly show that right and left actions are of similar type.