Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/82066
Type: Artigo de periódico
Title: Multivector Dirac equation and Z(2)-gradings of Clifford algebras
Author: Mosna, RA
Miralles, D
Vaz, J
Abstract: We generalize certain aspects of Hestenes's approach to Dirac theory to obtain multivector Dirac equations associated to a large class of representations of the gamma matrices. This is done by replacing the usual even/odd decomposition of the space-time algebra with more general Z(2)-gradings. Some examples are given and the chiral case, which is not addressed by the usual approach, is considered in detail. A Lagrangian formulation is briefly discussed. A relationship between this work and certain quaternionic models of the (usual) quantum mechanics is obtained. Finally, we discuss under what conditions the Hestenes's form can be recovered and we suggest a geometrical interpretation for the corresponding situation.
Subject: Dirac theory
Dirac-Hestenes equation
Clifford algebras
Z(2)-grading
spinors
Country: EUA
Editor: Kluwer Academic/plenum Publ
Rights: fechado
Identifier DOI: 10.1023/A:1021003016189
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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