Application of Eckart-Hellmann potential to study selected diatomic molecules using Nikiforov-Uvarov-Functional Analysis (NUFA) method

• URL: http://arxiv.org/abs/2204.04264v1
• Date: Fri, 8 Apr 2022 19:24:43 GMT
• Title: Application of Eckart-Hellmann potential to study selected diatomic molecules using Nikiforov-Uvarov-Functional Analysis (NUFA) method
• Authors: E. P. Inyang, E. S. William, E. Omugbe, E. P. Inyang, E.A.Ibanga, F.Ayedun, I.O.Akpan and J.E.Ntibi
• Abstract summary: We study the energy levels of the Schr"odinger equation under the Eckart-Hellmann potential (EHP) energy function. The numerical bound states energy for various screening parameters at different quantum states and vibrational energies of EHP for CuLi, TiH, VH, and TiC diatomic molecules were computed.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The energy levels of the Schr\"odinger equation under the Eckart-Hellmann potential (EHP) energy function are studied by the Nikiforov-Uvarov-Functional Analysis (NUFA) method. We obtained the analytic solution of the energy spectra and the wave function in closed form with the help of Greene-Aldrich approximation. The numerical bound states energy for various screening parameters at different quantum states and vibrational energies of EHP for CuLi, TiH, VH, and TiC diatomic molecules were computed. Four particular cases of this potential were achieved. To test the accuracy of our results, we computed the bound states energy eigenvalues of Hellmann potential which are in excellent agreement with the report of other researchers.

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