# Dirac equation with coupling to 1-r singular vector potentials for all angular momenta - Mathematical Physics

Dirac equation with coupling to 1-r singular vector potentials for all angular momenta - Mathematical Physics - Download this document for free, or read online. Document in PDF available to download.

Abstract: We consider the Dirac equation in 3+1 dimensions with spherical symmetry andcoupling to 1-r singular vector potential. An approximate analytic solution forall angular momenta is obtained. The approximation is made for the 1-r orbitalterm in the Dirac equation itself not for the traditional and more singular1-r^2 term in the resulting second order differential equation. Consequently,the validity of the solution is for a wider energy spectrum. As examples, weconsider the Hulthen and Eckart potentials.

Author: ** A. D. Alhaidari**

Source: https://arxiv.org/