Algebraic solution for the vector potential in the Dirac equation
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Abstract
The Dirac equation for an electron in an external electromagnetic field can be regarded as a singular set of linear equations for the vector potential. Radford's method of algebraically solving for the vector potential is reviewed, with attention to the additional constraints arising from non-maximality of the rank. The extension of the method to general spacetimes is illustrated by examples in diverse dimensions with both - and -number wavefunctions.
Keywords
Cite
@article{arxiv.hep-th/0104216,
title = {Algebraic solution for the vector potential in the Dirac equation},
author = {H S Booth and G Legg and P D Jarvis},
journal= {arXiv preprint arXiv:hep-th/0104216},
year = {2008}
}
Comments
14 pages, LaTeX