Dirac Equation with Coupling to 1/<Emphasis Type="Italic">r</Emphasis> Singular Vector Potentials for all Angular Momenta |
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| Authors: | A D Alhaidari |
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| Institution: | 1.Saudi Center for Theoretical Physics,Dhahran,Saudi Arabia;2.Physics Department,King Fahd University of Petroleum & Minerals,Dhahran,Saudi Arabia |
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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 Hulthén and Eckart potentials. |
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