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Approximate solutions of Schrodinger equation and expectation values of Inversely Quadratic Hellmann-Kratzer (IQHK) potential

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Abstract

The study presents approximate solutions of Schrodinger equation with the Inversely quadratic Hellmann-Kratzer (IQHK) potential. The energy eigenvalues and corresponding wavefunctions are obtained analytically using the Nikiforov-Uvarov (NU) method. The expectation values of inverse position r−1, square of inverse position, r−2, kinetic energy, T, potential energy, V, and square of momentum, p2, and their respective numerical values are evaluated via the Hellmann–Feynman theorem. Special cases of IQHK potential are also reported.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: All data included in the manuscript are available upon request by contacting with the corresponding author.]

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Acknowledgements

The authors wish to express their gratitude to the referees for the useful comments and suggestions which have greatly improved the manuscript.

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Authors and Affiliations

  1. Faculty of Physical Sciences, Federal University of Technology, Owerri, Nigeria

    C. P. Onyenegecha, C. J. Okereke, I. J. Njoku, C. A. Madu, R. U. Ndubuisi & U. K. Nwajeri

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  1. C. P. Onyenegecha
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  2. C. J. Okereke
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  3. I. J. Njoku
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  4. C. A. Madu
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  5. R. U. Ndubuisi
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  6. U. K. Nwajeri
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Contributions

CP Onyenegecha: designed the work. CJ Okereke and IJ Njoku: drafted the manuscript. RU Ndubuisi and UK Nwajeri: prepared all the figures and tables. CA Madu: supervised the work. All the authors reviewed the manuscript.

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Correspondence to C. P. Onyenegecha.

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Onyenegecha, C.P., Okereke, C.J., Njoku, I.J. et al. Approximate solutions of Schrodinger equation and expectation values of Inversely Quadratic Hellmann-Kratzer (IQHK) potential. Eur. Phys. J. Plus 137, 147 (2022). https://doi.org/10.1140/epjp/s13360-021-02315-w

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-02315-w

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