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Decoupled Dirac Equations as a Hypergeometric Equation for the Cornell Potential in 3D

2019
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Zenodo
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In (1), an exact solution of the Dirac equations is given for the Cornell Potential V(r)=ar-b/r+cr*r In (2), the authors apply the Nikiforov-Uvarov NU method to obtain the same solution. In this note, we use an approach applied in notes (3) and (4) to try to show the Cornell potential is consistent with a hypergeometric equation which has a Rodrigues polynomial solution. In (3) and (4), the one dimensional Dirac equations were considered and solutions of the form u(x)=uo(x)u1(x) and

doi:10.5281/zenodo.3373958
fatcat:yhsly5qht5h7fhhzhjlmwwtple