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Type: Artigo de periódico
Title: Toward an octonionic world
Author: De Leo, S
Abdel-Khalek, K
Abstract: In order to obtain a consistent formulation of octonionic quantum mechanics (OQM), we introduce left/right-barred operators. Such operators enable us to find the translation rules between octonionic numbers and 8 x 8 real matrices (a translation is also given for 4 x 4 complex matrices). The use of a complex geometry allows us to overcome the hermiticity problem and define an appropriate momentum operator within OQM. As an application of our results, we develop an octonionic relativistic free wave equation, linear in the derivatives. Even if the wave functions are only one-component, we show that four independent solutions, corresponding to those of the Dirac equation, exist.
Country: EUA
Editor: Plenum Publ Corp
Rights: fechado
Identifier DOI: 10.1023/A:1026617314160
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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