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Type: Artigo de periódico
Title: Complex geometry and Dirac equation
Author: De Leo, S
Rodrigues, WA
Vaz, J
Abstract: Complex geometry represents a fundamental ingredient in the formulation of the Dirac equation by the Clifford algebra. The choice of appropriate complex geometries is strictly related to the geometric interpretation of the complex imaginary unit i = root-1. We discuss two possibilities which appear in the multivector algebra approach: the sigma(123) and sigma(21) complex geometries. Our formalism provides a set of rules which allows an immediate translation between the complex standard Dirac theory and its version within geometric algebra. The problem concerning a double geometric interpretation for the complex imaginary unit i = root-1 is also discussed.
Country: EUA
Editor: Plenum Publ Corp
Rights: fechado
Identifier DOI: 10.1023/A:1026675210893
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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