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The Nikiforov–Uvarov-Functional Analysis (NUFA) Method: A New Approach for Solving Exponential-Type Potentials

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Abstract

A new method for solving second order differential equation called “Nikiforov–Uvarov-Functional-Analysis (NUFA) method is generalized. This method is employed to obtain the eigensolutions of the radial Schrodinger equation with selected exponential-type potential models. The NUFA method is seen to be easy and efficient, eliminating the rigorous mathematical manipulations encountered in other methods. Our results agree perfectly with the ones in different literatures.

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Acknowledgements

We would like to thank the kind referees for their positive and comments and suggestions which have greatly improved the manuscript.

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Authors and Affiliations

  1. Department of Physics, University of South Africa, Florida, Johannesburg, 1710, South Africa

    A. N. Ikot & G. J. Rampho

  2. Theoretical Physics Group, Department of Physics, University of Port Harcourt, P. M. B. 5323, Choba, Nigeria

    A. N. Ikot, U. S. Okorie, P. O. Amadi & C. O. Edet

  3. Department of Physics, Akwa Ibom State University, Ikot Akpaden, P. M. B. 1167, Uyo, Nigeria

    U. S. Okorie

  4. Department of Physics, Middle East Technical University, 06800, Ankara, Turkey

    R. Sever

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  1. A. N. Ikot
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  2. U. S. Okorie
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Ikot, A.N., Okorie, U.S., Amadi, P.O. et al. The Nikiforov–Uvarov-Functional Analysis (NUFA) Method: A New Approach for Solving Exponential-Type Potentials. Few-Body Syst 62, 9 (2021). https://doi.org/10.1007/s00601-021-01593-5

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