On the generalized continuity equation
General Physics
2014-11-20 v1
Abstract
A generalized continuity equation extending the ordinary continuity equation has been found using quanternions. It is shown to be compatible with Dirac, Schrodinger, Klein-Gordon and diffusion equations. This generalized equation is Lorentz invariant. The transport properties of electrons are found to be governed by Schrodinger-like equation and not by the diffusion equation.
Cite
@article{arxiv.1003.0071,
title = {On the generalized continuity equation},
author = {Arbab I. Arbab and Hisham. M. Widatallah},
journal= {arXiv preprint arXiv:1003.0071},
year = {2014}
}
Comments
9 Latex pages, no figures