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Type: Artigo de periódico
Title: Quaternionic Lorentz group and Dirac equation
Author: De Leo, S
Abstract: We formulate Lorentz, group representations in which ordinary complex numbers are replaced by linear functions of real quaternions and introduce dotted and undotted quaternionic one-dimensional spinors. To extend to parity the space-time transformations, we combine these one-dimensional spinors into bi-dimensional column vectors. From the transformation properties of the two-component spinors, we derive a quaternionic chiral representation for the space-time algebra. Finally, we obtain a quaternionic bi-dimensional version of the Dirac equation.
Subject: quaternions
Lorentz group
relativistic wave equations
Country: EUA
Editor: Kluwer Academic/plenum Publ
Rights: fechado
Identifier DOI: 10.1023/A:1012077227985
Date Issue: 2001
Appears in Collections:Unicamp - Artigos e Outros Documentos

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