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arXiv · hep-ph/0002093

Exact Solutions of the Dirac Equation for Modified Coulombic Potentials

Antonio Soares de Castro·Jerrold Franklin
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Abstract

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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Antonio Soares de Castro, Jerrold Franklin. 2000-02-08. Exact Solutions of the Dirac Equation for Modified Coulombic Potentials. https://doi.org/10.1142/s0217751x00001919

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