A coordinateless form of the Dirac equation
Mathematical Physics
2019-10-21 v1 math.MP
Abstract
We present a so called Dirac-type tensor equation (DTTE). This equation is written in coordinateless form with the aid of differential operators and . A wave function of DTTE belongs to a minimal left ideal of the algebra of exterior forms with respect to the Clifford product. We show that a coordinate form of DTTE is identical to the Dirac equation in a fixed coordinate system.
Keywords
Cite
@article{arxiv.math-ph/0307042,
title = {A coordinateless form of the Dirac equation},
author = {N. G. Marchuk},
journal= {arXiv preprint arXiv:math-ph/0307042},
year = {2019}
}