Relativistic treatment of the Hellmann-generalized morse potential

Authors

  • P. O. Okoi Department of Physics, University of Calabar, Nigeria. http://orcid.org/0000-0001-7762-731X
  • C.O. Edet Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria.
  • T. O. Magu Department of Pure and Applied Chemistry, University of Calabar, Calabar, Nigeria. CAS Key Laboratory of Green Printing, Institute of Chemistry, University of Chinese Academy of Sciences, 100190 Beijing, P.R. China.

DOI:

https://doi.org/10.31349/RevMexFis.66.1

Keywords:

Hellmann-generalized Morse potential, Dirac Equation, Klein-Gordon equation, Nikiforov–Uvarov method, Schrodinger equation

Abstract

We present the relativistic treatment of the Hellmann-generalized Morse potential using Nikiforov-Uvarov(NU) method. The relativistic equations(Klein-Gordon and Dirac equation) were solved using the conventional NU method. In order to overcome the centrifugal barrier, we employed the  well-known Greene and Aldrich approximation scheme. The corresponding normalized eigenfunctions was also obtained in each case. It was shown that in the non-relativistic limits, both energy equations obtained by solving Klein-Gordon and Dirac equations, and wavefunctions reduced to the non-relativisitc energy Equation. The bound state energy eigenvalues for N2, CO, NO, CH and HCl diatomic molecules were computed for various vibrational and rotational quantum numbers. It was found that our results agree with those in literature.

Author Biographies

P. O. Okoi, Department of Physics, University of Calabar, Nigeria.

Teaching/Research Assistant,
Department of Physics

C.O. Edet, Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria.

Research Fellow

T. O. Magu, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Nigeria. CAS Key Laboratory of Green Printing, Institute of Chemistry, University of Chinese Academy of Sciences, 100190 Beijing, P.R. China.

Assistant Lecturer

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Published

2019-12-28

How to Cite

[1]
P. O. Okoi, C. Edet, and T. O. Magu, “Relativistic treatment of the Hellmann-generalized morse potential”, Rev. Mex. Fís., vol. 66, no. 1 Jan-Feb, pp. 1–13, Dec. 2019.

Issue

Vol. 66 No. 1 Jan-Feb (2020): Revista Mexicana de Física

Section

04 Atomic and Molecular Physics

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.