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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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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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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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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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