Application of formula method for bound state problems in Schrödinger equation
By using Formula method for bound state problems, we have obtained the approximate analytical solution of the radial Schrödinger equation for Varshni potential model. The energy eigenvalues and the corresponding eigenfunctions are calculated in closed forms. In the process, eigen values for a = b =...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)
2019-03-01
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| Series: | Journal of Applied Sciences and Environmental Management |
| Subjects: | |
| Online Access: | https://www.ajol.info/index.php/jasem/article/view/184450 |
| _version_ | 1797228053178351616 |
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| author | O Ebomwonyi C.A. Onate O.E. Odeyemi |
| author_facet | O Ebomwonyi C.A. Onate O.E. Odeyemi |
| author_sort | O Ebomwonyi |
| collection | DOAJ |
| description |
By using Formula method for bound state problems, we have obtained the approximate analytical solution of the radial Schrödinger equation for Varshni potential model. The energy eigenvalues and the corresponding eigenfunctions are calculated in closed forms. In the process, eigen values for a = b =1, a = −1, b = −2, and b = −1, a = −2 for 2p, 3p, 3d, 4p and 4f states with three different values of the potential range were generated using the Varshni potential. Special cases of the potential are equally studied. Some numerical results have been presented which showed a good agreement with previous results obtained from another method.
Keywords: Varshni potential, Schrödinger equation, Formula method, Bound state
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| first_indexed | 2024-04-24T14:50:35Z |
| format | Article |
| id | doaj.art-b68f18d2d7454d75afe006f3bb3dbeb9 |
| institution | Directory Open Access Journal |
| issn | 2659-1502 2659-1499 |
| language | English |
| last_indexed | 2024-04-24T14:50:35Z |
| publishDate | 2019-03-01 |
| publisher | Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP) |
| record_format | Article |
| series | Journal of Applied Sciences and Environmental Management |
| spelling | doaj.art-b68f18d2d7454d75afe006f3bb3dbeb92024-04-02T19:51:01ZengJoint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)Journal of Applied Sciences and Environmental Management2659-15022659-14992019-03-0123210.4314/jasem.v23i2.19Application of formula method for bound state problems in Schrödinger equationO EbomwonyiC.A. OnateO.E. Odeyemi By using Formula method for bound state problems, we have obtained the approximate analytical solution of the radial Schrödinger equation for Varshni potential model. The energy eigenvalues and the corresponding eigenfunctions are calculated in closed forms. In the process, eigen values for a = b =1, a = −1, b = −2, and b = −1, a = −2 for 2p, 3p, 3d, 4p and 4f states with three different values of the potential range were generated using the Varshni potential. Special cases of the potential are equally studied. Some numerical results have been presented which showed a good agreement with previous results obtained from another method. Keywords: Varshni potential, Schrödinger equation, Formula method, Bound state https://www.ajol.info/index.php/jasem/article/view/184450Varshni potentialSchrödinger equationFormula methodBound state |
| spellingShingle | O Ebomwonyi C.A. Onate O.E. Odeyemi Application of formula method for bound state problems in Schrödinger equation Journal of Applied Sciences and Environmental Management Varshni potential Schrödinger equation Formula method Bound state |
| title | Application of formula method for bound state problems in Schrödinger equation |
| title_full | Application of formula method for bound state problems in Schrödinger equation |
| title_fullStr | Application of formula method for bound state problems in Schrödinger equation |
| title_full_unstemmed | Application of formula method for bound state problems in Schrödinger equation |
| title_short | Application of formula method for bound state problems in Schrödinger equation |
| title_sort | application of formula method for bound state problems in schrodinger equation |
| topic | Varshni potential Schrödinger equation Formula method Bound state |
| url | https://www.ajol.info/index.php/jasem/article/view/184450 |
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