Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potential

We solve the Schrodinger equation for the combination of Kratzer and Modified Eckart potential by using an approximation to the centrifugal term. Analytical expressions of the energy and the corresponding eigenfunctions have been obtained by using the parametric Nikiforov-Uvarov method. Special case...

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Main Authors: C. P Onyenegecha, J Okereke, C Agbakwuru, E Mbamala, U Ukewuihe, I Njoku, K Achilike
Format: Article
Language:English
Published: Qom University of Technology 2022-05-01
Series:Mathematics and Computational Sciences
Subjects:
Online Access:https://mcs.qut.ac.ir/article_252249_a4447f3e48bf21945401aa578d2415f3.pdf
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author C. P Onyenegecha
J Okereke
C Agbakwuru
E Mbamala
U Ukewuihe
I Njoku
K Achilike
author_facet C. P Onyenegecha
J Okereke
C Agbakwuru
E Mbamala
U Ukewuihe
I Njoku
K Achilike
author_sort C. P Onyenegecha
collection DOAJ
description We solve the Schrodinger equation for the combination of Kratzer and Modified Eckart potential by using an approximation to the centrifugal term. Analytical expressions of the energy and the corresponding eigenfunctions have been obtained by using the parametric Nikiforov-Uvarov method. Special cases of the potential are discussed. In addition, numerical results of the energy are computed. Furthermore, it is reported that the energy E and the quantum numbers n and l are inversely proportional to each other.
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spelling doaj.art-f9afb4553ab144848dab977a7e96e27f2024-02-05T19:33:31ZengQom University of TechnologyMathematics and Computational Sciences2717-27082022-05-0132486110.30511/mcs.2022.252249252249Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potentialC. P Onyenegecha0J Okereke1C Agbakwuru2E Mbamala3U Ukewuihe4I Njoku5K Achilike6Department of Physics, Federal University of Technology, Owerri, NigeriaDepartment of Physics, Federal University of Technology, Owerri, NigeriaDepartment of Physics/Electronics, Federal Polytechnic, Nekede, NigeriaDepartment of Physics, Federal University of Technology, Owerri, NigeriaDepartment of Physics, Federal University of Technology, Owerri, NigeriaDepartment of Physics, Federal University of Technology, Owerri, NigeriaDepartment of Physics, Abia State University, Uturu, NigeriaWe solve the Schrodinger equation for the combination of Kratzer and Modified Eckart potential by using an approximation to the centrifugal term. Analytical expressions of the energy and the corresponding eigenfunctions have been obtained by using the parametric Nikiforov-Uvarov method. Special cases of the potential are discussed. In addition, numerical results of the energy are computed. Furthermore, it is reported that the energy E and the quantum numbers n and l are inversely proportional to each other.https://mcs.qut.ac.ir/article_252249_a4447f3e48bf21945401aa578d2415f3.pdfkratzer potentialmodified eckart potentialnikiforov-uvarov method
spellingShingle C. P Onyenegecha
J Okereke
C Agbakwuru
E Mbamala
U Ukewuihe
I Njoku
K Achilike
Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potential
Mathematics and Computational Sciences
kratzer potential
modified eckart potential
nikiforov-uvarov method
title Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potential
title_full Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potential
title_fullStr Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potential
title_full_unstemmed Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potential
title_short Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potential
title_sort approximate solutions of schrodinger equation with combination of kratzer and modified eckart potential
topic kratzer potential
modified eckart potential
nikiforov-uvarov method
url https://mcs.qut.ac.ir/article_252249_a4447f3e48bf21945401aa578d2415f3.pdf
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