Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model
Abstract Analytical solutions of the N-dimensional Schrödinger equation for the newly proposed Varshni-Hulthén potential are obtained within the framework of the Nikiforov-Uvarov method by using the Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.
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Sociedad Mexicana de Física
2021
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oai:scielo:S0035-001X20210002001932022-02-14Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential modelInyang,E. P.William,E. S.Obu,J. A. N-dimensional Schrödinger equation Nikiforov-Uvarov method eigenvalues eigenfunction Varshni-Hulthén potential Abstract Analytical solutions of the N-dimensional Schrödinger equation for the newly proposed Varshni-Hulthén potential are obtained within the framework of the Nikiforov-Uvarov method by using the Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física v.67 n.2 20212021-04-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2021000200193en10.31349/revmexfis.67.193 |
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| author |
Inyang,E. P. William,E. S. Obu,J. A. |
| spellingShingle |
Inyang,E. P. William,E. S. Obu,J. A. Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model |
| author_facet |
Inyang,E. P. William,E. S. Obu,J. A. |
| author_sort |
Inyang,E. P. |
| title |
Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model |
| title_short |
Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model |
| title_full |
Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model |
| title_fullStr |
Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model |
| title_full_unstemmed |
Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model |
| title_sort |
eigensolutions of the n-dimensional schrödinger equation interacting with varshni-hulthén potential model |
| description |
Abstract Analytical solutions of the N-dimensional Schrödinger equation for the newly proposed Varshni-Hulthén potential are obtained within the framework of the Nikiforov-Uvarov method by using the Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically. |
| publisher |
Sociedad Mexicana de Física |
| publishDate |
2021 |
| url |
http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2021000200193 |
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