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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Main Authors: C. O. Edet, P. O Okoi, S. O Chima
Format: Article
Language:Portuguese
Published: Sociedade Brasileira de Física 2019-11-01
Series:Revista Brasileira de Ensino de Física
Subjects:
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.
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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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