Quaternionic Electron Theory: Dirac's Equation
High Energy Physics - Theory
2012-08-27 v1
Abstract
We perform a one-dimensional complexified quaternionic version of the Dirac equation based on -complex geometry. The problem of the missing complex parameters in Quaternionic Quantum Mechanics with -complex geometry is overcome by a nice ``trick'' which allows to avoid the Dirac algebra constraints in formulating our relativistic equation. A brief comparison with other quaternionic formulations is also presented.
Cite
@article{arxiv.hep-th/9806057,
title = {Quaternionic Electron Theory: Dirac's Equation},
author = {Stefano De Leo and Waldyr A. Rodrigues,},
journal= {arXiv preprint arXiv:hep-th/9806057},
year = {2012}
}
Comments
14 pags, Revtex, Int. J. Theor. Phys. (published, May 98)