Analytical solutions of the Dirac equation under Hellmann–Frost–Musulin potential

Onate, C.A and Onyeaju, M.C. and Ikot, A.N (2016) Analytical solutions of the Dirac equation under Hellmann–Frost–Musulin potential. Annals of Physics, 375. pp. 239-250.

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Abstract

The approximate analytical solutions of the Dirac equation with Hellmann–Frost–Musulin potential have been studied by using the generalized parametric Nikiforov–Uvarov (NU) method for arbitrary spin–orbit quantum number k under the spin and pseudospin symmetries. The Hellmann–Frost–Musulin potential is a superposition potential that consists of Yukawa potential, Coulomb potential, and Frost–Musulin potential. As a particular case, we found the energy levels of the non-relativistic limit of the spin symmetry. The energy equation of Yukawa potential, Coulomb potential, Hellmann potential and Frost–Musulin potential are obtained. Energy values are generated for some diatomic molecules.

Item Type: Article
Subjects: Q Science > QC Physics
Depositing User: Clement Onate
Date Deposited: 30 Nov 2018 17:28
Last Modified: 30 Nov 2018 17:28
URI: https://eprints.lmu.edu.ng/id/eprint/1554

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