Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential
Abstract This study presents the solutions of Schrödinger equation for the Non-Central Generalized Inverse Quadratic Yukawa Potential within the framework of Nikiforov-Uvarov. The radial and angular part of the Schrödinger equation are obtained using the method of variable separation. More so, the b...
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Format: | Article |
Language: | Portuguese |
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Sociedade Brasileira de Física
2019-11-01
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Series: | Revista Brasileira de Ensino de Física |
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Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172020000100417&tlng=en |
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author | C. O. Edet P. O Okoi S. O Chima |
author_facet | C. O. Edet P. O Okoi S. O Chima |
author_sort | C. O. Edet |
collection | DOAJ |
description | Abstract This study presents the solutions of Schrödinger equation for the Non-Central Generalized Inverse Quadratic Yukawa Potential within the framework of Nikiforov-Uvarov. The radial and angular part of the Schrödinger equation are obtained using the method of variable separation. More so, the bound states energy eigenvalues and corresponding eigenfunctions are obtained analytically. Numerical results were obtained for the Generalized Inverse Quadratic Yukawa Potential for comparison sake. It was found out that our results agree with existing literature. |
first_indexed | 2024-04-11T17:20:01Z |
format | Article |
id | doaj.art-4b2034925b3f49ea99cbba5b1e7c0968 |
institution | Directory Open Access Journal |
issn | 1806-9126 |
language | Portuguese |
last_indexed | 2024-04-11T17:20:01Z |
publishDate | 2019-11-01 |
publisher | Sociedade Brasileira de Física |
record_format | Article |
series | Revista Brasileira de Ensino de Física |
spelling | doaj.art-4b2034925b3f49ea99cbba5b1e7c09682022-12-22T04:12:30ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262019-11-014210.1590/1806-9126-rbef-2019-0083Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potentialC. O. Edethttps://orcid.org/0000-0001-7762-731XP. O OkoiS. O ChimaAbstract This study presents the solutions of Schrödinger equation for the Non-Central Generalized Inverse Quadratic Yukawa Potential within the framework of Nikiforov-Uvarov. The radial and angular part of the Schrödinger equation are obtained using the method of variable separation. More so, the bound states energy eigenvalues and corresponding eigenfunctions are obtained analytically. Numerical results were obtained for the Generalized Inverse Quadratic Yukawa Potential for comparison sake. It was found out that our results agree with existing literature.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172020000100417&tlng=enSchrödinger equationGeneralized Inverse Quadratic Yukawa PotentialNon central potentialNikiforov-Uvarov methodRing shaped potential |
spellingShingle | C. O. Edet P. O Okoi S. O Chima Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential Revista Brasileira de Ensino de Física Schrödinger equation Generalized Inverse Quadratic Yukawa Potential Non central potential Nikiforov-Uvarov method Ring shaped potential |
title | Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential |
title_full | Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential |
title_fullStr | Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential |
title_full_unstemmed | Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential |
title_short | Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential |
title_sort | analytic solutions of the schrodinger equation with non central generalized inverse quadratic yukawa potential |
topic | Schrödinger equation Generalized Inverse Quadratic Yukawa Potential Non central potential Nikiforov-Uvarov method Ring shaped potential |
url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172020000100417&tlng=en |
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