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|Type:||Artigo de periódico|
|Title:||Complex geometry and Dirac equation|
|Author:||De Leo, S|
|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.|
|Editor:||Plenum Publ Corp|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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