Exact Solutions of the Dirac Equation for Modified Coulombic Potentials

Details Exact Solutions of the Dirac Equation for Modified Coulombic Potentials Exact Solutions of the Dirac Equation for Modified Coulombic Potentials

2000-02-08

arxiv.org/abs/hep-ph/0002093v1

Int.J.Mod.Phys. A15 (2000) 4355-4360

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, Latex file

Scientific paper

10.1142/S0217751X00001917

Exact solutions are found to the Dirac equation for a combination of Lorentz scalar and vector Coulombic potentials with additional non-Coulombic parts. An appropriate linear combination of Lorentz scalar and vector non-Coulombic potentials, with the scalar part dominating, can be chosen to give exact analytic Dirac wave functions. The method works for the ground state or for the lowest orbital state with l=j-{1/2}, for any j.

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