Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method

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Published: Jan 1, 2020
DOI: https://doi.org/10.26850/1678-4618eqj.v45.1.2020.p65-77

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Akpan Ndem Ikot
Theoretical Physics Group, Department of Physics, University of Port Harcourt Nigeria
http://orcid.org/0000-0002-1078-262X
Uduakobong Okorie
Theoretical Physics Group, Department of Physics, University of Port Harcourt Nigeria Department of Physics, Akwa Ibom State University, Ikot Akpaden-Nigeria
http://orcid.org/0000-0002-5660-0289
Alalibo Thompson Ngiangia
Theoretical Physics Group, Department of Physics, University of Port Harcourt Nigeria
Clement Atachegbe Onate
Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria
http://orcid.org/0000-0003-0128-7800
Collins Okon Edet
Theoretical Physics Group, Department of Physics, University of Port Harcourt Nigeria
http://orcid.org/0000-0003-1412-2829
Ita Okon Akpan
Department of Physics, University of Calabar-Nigeria
Precious Ogbonda Amadi
Theoretical Physics Group, Department of Physics, University of Port Harcourt Nigeria

Abstract

In this paper, we obtained the exact bound state energy spectrum of the Schrödinger equation with energy dependent molecular Kratzer potential using asymptotic iteration method (AIM). The corresponding wave function expressed in terms of the confluent hypergeometric function was also obtained. As a special case, when the energy slope parameter in the energy-dependent molecular Kratzer potential is set to zero, then the well-known molecular Kratzer potential is recovered. Numerical results for the energy eigenvlaues are also obtained for different quantum states, in the presence and absence of the energy slope parameter. These results are discussed extensively using graphical representation. Our results are seen to agree with the results in literature.

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How to Cite
Ikot, A. N., Okorie, U., Ngiangia, A. T., Onate, C. A., Edet, C. O., Akpan, I. O., & Amadi, P. O. (2020). Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method. Eclética Química, 45(1), 65–76. https://doi.org/10.26850/1678-4618eqj.v45.1.2020.p65-77
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Vol. 45 No. 1 (2020): Eclética Química Journal
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Original articles

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