The Dirac-Hestenes Equation for Spherical Symmetric Potentials in the Spherical and Cartesian Gauges
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
In this paper using the apparatus of the Clifford bundle formalism we show how straightforwardly solve in Minkowski spacetime the Dirac-Hestenes equation -- which is an appropriate representative in the Clifford bundle of differential forms of the usual Dirac equation -- by separation of variables for the case of a potential having spherical symmetry in the Cartesian and spherical gauges. We show that contrary to what is expected at a first sight, the solution of the DHE in both gauges has exactly the same mathematical difficulty.
Cite
@article{arxiv.math-ph/0601018,
title = {The Dirac-Hestenes Equation for Spherical Symmetric Potentials in the Spherical and Cartesian Gauges},
author = {Roldao da Rocha and Waldyr A. Rodrigues},
journal= {arXiv preprint arXiv:math-ph/0601018},
year = {2007}
}
Comments
13 pages, accepted for publication in Int.J.Mod.Phys.A