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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Qom University of Technology
2022-05-01
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Series: | Mathematics and Computational Sciences |
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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. |
first_indexed | 2024-03-08T05:36:26Z |
format | Article |
id | doaj.art-f9afb4553ab144848dab977a7e96e27f |
institution | Directory Open Access Journal |
issn | 2717-2708 |
language | English |
last_indexed | 2024-03-08T05:36:26Z |
publishDate | 2022-05-01 |
publisher | Qom University of Technology |
record_format | Article |
series | Mathematics and Computational Sciences |
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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