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The Schrödinger Equation with Deng-Fan-Eckart Potential (DFEP): Nikiforov-Uvarov-Functional Analysis (NUFA) Method

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  • E. B. Ettah

Abstract

In this study, the radial part of the Schrödinger equation with the Deng-Fan-Eckart potential (DFEP) is solved analytically by employing the improved Greene and Aldrich approximation to bypass the centrifugal barrier and using the Nikiforov-Uvarov-Functional Analysis method (NUFA). The energy expression and wave function are obtained respectively. The numerical energy spectra for some diatomic molecules have been studied and compared with the findings of earlier studies and it has been found to be in good agreement. The NUFA method used in this study is easy and very less cumbersome compared to other methods that currently exist and it is recommended that researchers in this area adopt this method. The findings of this study will find direct applications in molecular physics.

Suggested Citation

  • E. B. Ettah, 2021. "The Schrödinger Equation with Deng-Fan-Eckart Potential (DFEP): Nikiforov-Uvarov-Functional Analysis (NUFA) Method," European Journal of Applied Physics, European Open Science, vol. 3(5), pages 58-62, September.
    • Handle: RePEc:epw:physic:v:3:y:2021:i:5:id:11111
    DOI: 10.24018/ejphysics.2021.3.5.111
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    References listed on IDEAS

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    1. repec:ibn:ijcjnl:v:10:y:2018:i:3:p:99-106 is not listed on IDEAS
    2. Arnold F. Nikiforov & Vasilii B. Uvarov, 1988. "Special Functions of Mathematical Physics," Springer Books, Springer, number 978-1-4757-1595-8, January.
    3. E. P. Inyang & E. P. Inyang & I. O. Akpan & J. E. Ntibi & E. S. William, 2020. "Analytical Solutions of the Schrödinger Equation with Class of Yukawa Potential for a Quarkonium System Via Series Expansion Method," European Journal of Applied Physics, European Open Science, vol. 2(6), November.
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