One Component Dirac Equation
High Energy Physics - Theory
2015-06-26 v1
Abstract
We develop a relativistic free wave equation on the complexified quaternions, 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. A partial set of translations between complex and complexified quaternionic quantum mechanics may be defined.
Cite
@article{arxiv.hep-th/9508010,
title = {One Component Dirac Equation},
author = {Stefano De Leo},
journal= {arXiv preprint arXiv:hep-th/9508010},
year = {2015}
}
Comments
14 pages, latex, no figures