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arXiv · hep-th/9609033

Octonionic Dirac Equation

Stefano De Leo·Khaled Abdel-Khalek
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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 $8\times 8$ real matrices (a translation is also given for $4\times 4$ complex matrices). 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.

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Stefano De Leo, Khaled Abdel-Khalek. 1996-09-03. Octonionic Dirac Equation. https://doi.org/10.1143/ptp.96.833

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