Dirac and Maxwell equations in the Clifford and spin-Clifford bundles
type: Item
instance of: scholarly article
title: Dirac and Maxwell equations in the Clifford and spin-Clifford bundles
zbMATH Open document ID: 0699.53020
DOI: 10.1007/BF00674439
published in: International Journal of Theoretical Physics
publication date: 1990-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 83C60
zbMATH DE Number: 4146997
zbMATH Keywords: Dirac equations
zbMATH Keywords: Maxwell equations
zbMATH Keywords: Clifford bundles
author: Waldyr A. jun. Rodrigues
author: E. C. de Oliveira
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
cites work: Q3938903
cites work: Covariant, algebraic, and operator spinors
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cites work: Note on Light Quanta and the Electromagnetic Field
cites work: Q3324593
cites work: Q3890822
cites work: Real spin-Clifford bundle and the spinor structure of space-time
cites work: Q3483999
full work available at URL: https://doi.org/10.1007/bf00674439
OpenAlex ID: W2060998859
description: scientific article; zbMATH DE number 4146997