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

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

2010-04-22

arxiv.org/abs/1004.3901v1

Found. Phys. 40, 1088 (2010)

Physics

Mathematical Physics

7 pages

Scientific paper

10.1007/s10701-010-9431-5

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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