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Bound state solutions of diatomic molecules with screened modified Kratzer potential by asymptotic iteration method

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Abstract

Bound state energies and wave functions of the diatomic molecules \(\text {H}_2\), Hcl, \(\text {N}_2\), CO, NO, ScH and LiH with screened Modified Kratzer (SMK) potential for different vibrational quantum number n and angular momentum quantum number l have been estimated under the framework of asymptotic iteration method (AIM). Modified Kratzer and inversely quadratic Yukawa potentials are also considered here to see the effect of these potentials on the energy levels of some selected diatomic molecules.

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Acknowledgements

The author would like to thank Dr. Jayanta K Saha, Aliah University, Kolkata for the encouragement and support in the field of research.

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Authors and Affiliations

  1. Department of Mathematics, Netaji Nagar Day College, Kolkata, 700-092, India

    Sujay Kr. Nayek

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  1. Sujay Kr. Nayek
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Correspondence to Sujay Kr. Nayek.

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Nayek, S.K. Bound state solutions of diatomic molecules with screened modified Kratzer potential by asymptotic iteration method. Eur. Phys. J. Plus 137, 1205 (2022). https://doi.org/10.1140/epjp/s13360-022-03425-9

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