Octonionic Dirac Equation
High Energy Physics - Theory
2009-10-30 v1
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 real matrices (a translation is also given for 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.
Keywords
Cite
@article{arxiv.hep-th/9609033,
title = {Octonionic Dirac Equation},
author = {Stefano De Leo and Khaled Abdel-Khalek},
journal= {arXiv preprint arXiv:hep-th/9609033},
year = {2009}
}
Comments
To appear in Prog. Theor. Phys. (vol 96)