Dirac equation with coupling to 1/r singular vector potentials for all angular momenta
Mathematical Physics
2014-11-20 v1 High Energy Physics - Theory
math.MP
Abstract
We consider the Dirac equation in 3+1 dimensions with spherical symmetry and coupling to 1/r singular vector potential. An approximate analytic solution for all angular momenta is obtained. The approximation is made for the 1/r orbital term in the Dirac equation itself not for the traditional and more singular 1/r^2 term in the resulting second order differential equation. Consequently, the validity of the solution is for a wider energy spectrum. As examples, we consider the Hulthen and Eckart potentials.
Keywords
Cite
@article{arxiv.1004.3901,
title = {Dirac equation with coupling to 1/r singular vector potentials for all angular momenta},
author = {A. D. Alhaidari},
journal= {arXiv preprint arXiv:1004.3901},
year = {2014}
}
Comments
7 pages