Analytical Bound-State solution of the Schrodinger equation for the morse potential within the Nikiforov-Uvarov method
AbstractThe Morse potential has important and significance rule to describe the diatomic molecule energy and structure. However there is no any analytical solution for Schrodinger equation with this potential without approximation, therefore other ways such as numerical, perturbation, variation and...
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| Format: | Article |
| Language: | English |
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Qom University of Technology
2021-01-01
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| Series: | Mathematics and Computational Sciences |
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| Online Access: | https://mcs.qut.ac.ir/article_241717_e330dc4b6dc54e77ef89e0c562357d04.pdf |
| _version_ | 1797324013857406976 |
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| author | Enayatolah Yazdankish |
| author_facet | Enayatolah Yazdankish |
| author_sort | Enayatolah Yazdankish |
| collection | DOAJ |
| description | AbstractThe Morse potential has important and significance rule to describe the diatomic molecule energy and structure. However there is no any analytical solution for Schrodinger equation with this potential without approximation, therefore other ways such as numerical, perturbation, variation and so on are taken to deal with this potential. In this work the the Nikiforov-Uvarov method is taken to obtain its energy eigenvalues and eigenfunctions. In the ground state the Schrodinger equation with this potential have exact solution but with arbitrary l-state the Morse potential with centrifugal term have no exact solution therefore it is solved analytically with use the Pekeris approximation. Here in this work we solved the Schrodinger in the space of D dimension and use the Nikiforove-Uvarov method which is based on solving the hyper geometric type second-order differential equations by means of the special orthogonal functions. |
| first_indexed | 2024-03-08T05:36:21Z |
| format | Article |
| id | doaj.art-e38548200e1f455b9689fd3ab47ba17f |
| institution | Directory Open Access Journal |
| issn | 2717-2708 |
| language | English |
| last_indexed | 2024-03-08T05:36:21Z |
| publishDate | 2021-01-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj.art-e38548200e1f455b9689fd3ab47ba17f2024-02-05T19:35:03ZengQom University of TechnologyMathematics and Computational Sciences2717-27082021-01-0121617010.30511/mcs.2021.522714.1016241717Analytical Bound-State solution of the Schrodinger equation for the morse potential within the Nikiforov-Uvarov methodEnayatolah Yazdankish0Applied Chemistry Department, Faculty of Gas and Petroleum, Yasouj UNIVERSITYAbstractThe Morse potential has important and significance rule to describe the diatomic molecule energy and structure. However there is no any analytical solution for Schrodinger equation with this potential without approximation, therefore other ways such as numerical, perturbation, variation and so on are taken to deal with this potential. In this work the the Nikiforov-Uvarov method is taken to obtain its energy eigenvalues and eigenfunctions. In the ground state the Schrodinger equation with this potential have exact solution but with arbitrary l-state the Morse potential with centrifugal term have no exact solution therefore it is solved analytically with use the Pekeris approximation. Here in this work we solved the Schrodinger in the space of D dimension and use the Nikiforove-Uvarov method which is based on solving the hyper geometric type second-order differential equations by means of the special orthogonal functions.https://mcs.qut.ac.ir/article_241717_e330dc4b6dc54e77ef89e0c562357d04.pdfsolving of schrodinger equationmorse potentialnikiforov-uvarov method |
| spellingShingle | Enayatolah Yazdankish Analytical Bound-State solution of the Schrodinger equation for the morse potential within the Nikiforov-Uvarov method Mathematics and Computational Sciences solving of schrodinger equation morse potential nikiforov-uvarov method |
| title | Analytical Bound-State solution of the Schrodinger equation for the morse potential within the Nikiforov-Uvarov method |
| title_full | Analytical Bound-State solution of the Schrodinger equation for the morse potential within the Nikiforov-Uvarov method |
| title_fullStr | Analytical Bound-State solution of the Schrodinger equation for the morse potential within the Nikiforov-Uvarov method |
| title_full_unstemmed | Analytical Bound-State solution of the Schrodinger equation for the morse potential within the Nikiforov-Uvarov method |
| title_short | Analytical Bound-State solution of the Schrodinger equation for the morse potential within the Nikiforov-Uvarov method |
| title_sort | analytical bound state solution of the schrodinger equation for the morse potential within the nikiforov uvarov method |
| topic | solving of schrodinger equation morse potential nikiforov-uvarov method |
| url | https://mcs.qut.ac.ir/article_241717_e330dc4b6dc54e77ef89e0c562357d04.pdf |
| work_keys_str_mv | AT enayatolahyazdankish analyticalboundstatesolutionoftheschrodingerequationforthemorsepotentialwithinthenikiforovuvarovmethod |