Dirac and Maxwell equations in the Clifford and spin-Clifford bundles
The present paper is a direct continuation of a previous one by \textit{V. L. Figueiredo} and the authors [ibid., 371-395 (1990; see the preceding review)] in which the Dirac and Maxwell equations are investigated in some detail. These equations are considered in generalized form (including the possibility of monopoles) and it is shown that all known presentations of the Maxwell equations in (matrix) Dirac-like ``spinor'' form can be obtained by choosing particular global idempotents in the indicated Clifford bundles. They also consider the transformation laws of these equations under the Lorentz group and resolve several misunderstandings which have previously appeared in the literature. Finally a factorization of the Maxwell field into two-component spinor fields is exhibited.
scientific article; zbMATH DE number 4146997
scientific article