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Bound state solutions of Schrödinger equation with modified Mobius square potential (MMSP) and its thermodynamic properties

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A Correction to this article was published on 13 June 2023

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Abstract

We solved the Schrödinger equation with the modified Mobius square potential model using the modified factorization method. Within the framework of the Greene–Aldrich approximation for the centrifugal term and using a suitable transformation scheme, we obtained the energy eigenvalues equation and the corresponding eigenfunction in terms of the hypergeometric function. Using the resulting eigenvalues equation, we calculated the vibrational partition function and other relevant thermodynamic properties. We also showed that the modified Mobius square potential can be reduced to the Hua potential model using appropriate potential constant values.

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Acknowledgements

The authors thank the reviewers for their positive and valuable comments on the manuscript.

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Authors and Affiliations

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

    Uduakobong S. Okorie

  2. Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Port Harcourt, Nigeria

    Akpan N. Ikot, Michael C. Onyeaju & Ephraim O. Chukwuocha

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  1. Uduakobong S. Okorie
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  2. Akpan N. Ikot
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  3. Michael C. Onyeaju
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  4. Ephraim O. Chukwuocha
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Correspondence to Uduakobong S. Okorie.

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The original online version of this article was revised due to errors in equations.

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Okorie, U.S., Ikot, A.N., Onyeaju, M.C. et al. Bound state solutions of Schrödinger equation with modified Mobius square potential (MMSP) and its thermodynamic properties. J Mol Model 24, 289 (2018). https://doi.org/10.1007/s00894-018-3811-8

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  • DOI: https://doi.org/10.1007/s00894-018-3811-8

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