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

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• 作者：C.A. Onate^a ; ^{oaclems14@physicist.net} ; M.C. Onyeaju^b ; A.N. Ikot^b
• 关键词：Dirac equation ; Hellmann potential ; Frost&ndash ; Muslin potential ; Wave equation ; Eigensolution ; Nikiforov&ndash ; Uvarov method
• 刊名：Annals of Physics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：375
• 期：Complete
• 页码：239-250
• 全文大小：490 K
• 卷排序：375

文摘

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.