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arXiv · 1004.3901

Dirac equation with coupling to 1/r singular vector potentials for all angular momenta

A. D. Alhaidari
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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.

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A. D. Alhaidari. 2010-04-22. Dirac equation with coupling to 1/r singular vector potentials for all angular momenta. https://doi.org/10.1007/s10701-010-9431-5

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