The tensor analytical relationships of Dirac's equation
Abstract
Description
Dirac's equation of the electron will be discussed by using quaternions as the basis of a new formalism which seems to be very well adapted to the problem. The transformation properties of the equations as well as the invariant and covariant [bilinear] constructions of Dirac's theory are developed uniformly and systematically. A method of obtaining a covariant formulation of the equations using customary tensor calculus also offers itself unequivocally if we duplicate the Dirac equations. (Editorial note: In this paper Lanczos introduces his ``fundamental equation,'' Eq. (54), from which two Dirac fields forming an isospin doublet, or two spin 1 fields of opposite parities, derive.)
31 pages. Initial translation by Josef Illy and Judith Konstag Masko. Final translation and editorial notes by Andre Gsponer
31 pages. Initial translation by Josef Illy and Judith Konstag Masko. Final translation and editorial notes by Andre Gsponer