Solutions of the Schrödinger equation with Hulthén-screened Kratzer potential: Application to Diatomic Molecules

  • Etido Inyang Department of Physics, National Open University of Nigeria, Jabi, Abuja, Nigeria; bTheoretical Physics Group, Department of Physics, University of Calabar, Calabar, Nigeria https://orcid.org/0000-0002-5031-3297
  • P.C. Iwuji Theoretical Physics Group, Department of Physics, University of Calabar, Calabar, Nigeria
  • Joseph E. Ntibi Theoretical Physics Group, Department of Physics, University of Calabar, Calabar, Nigeria https://orcid.org/0000-0002-7908-2840
  • E.S. William Theoretical Physics Group, Department of Physics, University of Calabar, Calabar, Nigeria
  • E.A. Ibanga Department of Physics, National Open University of Nigeria, Jabi, Abuja, Nigeria
Keywords: Schrödinger equation; Nikiforov-Uvarov method; series expansion method; Hulthén plus screened Kratzer Potentials; Diatomic molecules

Abstract

In this study, the Schrödinger equation with the Hulthén plus screened Kratzer potentials (HSKP) are solved via the Nikiforov-Uvarov (NU) and the series expansion methods. We obtained the energy equation and the wave function in closed form with Greene-Aldrich approximation via the NU method. The series expansion method was also used to obtain the energy equation of HSKP. Three distinct cases were obtained from the combined potentials. The energy eigenvalues of HSKP for HCl, LiH, H2, and NO diatomic molecules were computed for various quantum states. To test the accuracy of our results, we computed the bound states energy of HCl and LiH, for a special case of Kratzer and screened Kratzer potentials, which are in excellent agreement with the report of other researchers.

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Published
2022-06-02
Cited
How to Cite
Inyang, E., Iwuji, P., Ntibi, J. E., William, E., & Ibanga, E. (2022). Solutions of the Schrödinger equation with Hulthén-screened Kratzer potential: Application to Diatomic Molecules. East European Journal of Physics, (2), 12-22. https://doi.org/10.26565/2312-4334-2022-2-02

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