Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential
In this study, an approximate solution of the Schrödinger equation for the q-deformed Hulthen-quadratic exponential-type potential model within the framework of the Nikiforov–Uvarov method was obtained. The bound state energy equation and the corresponding eigenfunction was obtained. The energy spec...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universidade Estadual Paulista
2021-10-01
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| Series: | Eclética Química |
| Online Access: | https://revista.iq.unesp.br/ojs/index.php/ecletica/article/view/1216 |
| _version_ | 1819117512055324672 |
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| author | Ushie Patrick Obogo Ofem Egbe Ubi Collins Okon Edet Akpan Ndem Ikot |
| author_facet | Ushie Patrick Obogo Ofem Egbe Ubi Collins Okon Edet Akpan Ndem Ikot |
| author_sort | Ushie Patrick Obogo |
| collection | DOAJ |
| description | In this study, an approximate solution of the Schrödinger equation for the q-deformed Hulthen-quadratic exponential-type potential model within the framework of the Nikiforov–Uvarov method was obtained. The bound state energy equation and the corresponding eigenfunction was obtained. The energy spectrum is applied to study H2, HCl, CO and LiH diatomic molecules. The effect of the deformation parameters and other potential parameters on the energy spectra of the system were graphically and numerically analyzed in detail. Special cases were considered when the potential parameters were altered, resulting in deformed Hulthen potential, Hulthen potential, deformed quadratic exponential-type potential and quadratic exponential-type potential. The energy eigenvalues expressions agreed with what obtained in literature. Finally, the results can find many applications in quantum chemistry, atomic and molecular physics. |
| first_indexed | 2024-12-22T05:34:09Z |
| format | Article |
| id | doaj.art-f3ab140426af481b9b97482c386bd34e |
| institution | Directory Open Access Journal |
| issn | 0100-4670 1678-4618 |
| language | English |
| last_indexed | 2024-12-22T05:34:09Z |
| publishDate | 2021-10-01 |
| publisher | Universidade Estadual Paulista |
| record_format | Article |
| series | Eclética Química |
| spelling | doaj.art-f3ab140426af481b9b97482c386bd34e2022-12-21T18:37:23ZengUniversidade Estadual PaulistaEclética Química0100-46701678-46182021-10-01464607310.26850/1678-4618eqj.v46.4.2021.p60-731112Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potentialUshie Patrick Obogo0Ofem Egbe Ubi1Collins Okon Edet2Akpan Ndem Ikot3Cross River University of Technology, Department of Physics, Faculty of Physical Sciences, Calabar, Nigeria.Cross River University of Technology, Department of Physics, Faculty of Physical Sciences, Calabar, Nigeria.University of Port Harcourt, Department of Physics, Rivers State, Nigeria.University of Port Harcourt, Department of Physics, Rivers State, Nigeria.In this study, an approximate solution of the Schrödinger equation for the q-deformed Hulthen-quadratic exponential-type potential model within the framework of the Nikiforov–Uvarov method was obtained. The bound state energy equation and the corresponding eigenfunction was obtained. The energy spectrum is applied to study H2, HCl, CO and LiH diatomic molecules. The effect of the deformation parameters and other potential parameters on the energy spectra of the system were graphically and numerically analyzed in detail. Special cases were considered when the potential parameters were altered, resulting in deformed Hulthen potential, Hulthen potential, deformed quadratic exponential-type potential and quadratic exponential-type potential. The energy eigenvalues expressions agreed with what obtained in literature. Finally, the results can find many applications in quantum chemistry, atomic and molecular physics.https://revista.iq.unesp.br/ojs/index.php/ecletica/article/view/1216 |
| spellingShingle | Ushie Patrick Obogo Ofem Egbe Ubi Collins Okon Edet Akpan Ndem Ikot Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential Eclética Química |
| title | Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential |
| title_full | Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential |
| title_fullStr | Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential |
| title_full_unstemmed | Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential |
| title_short | Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential |
| title_sort | effect of the deformation parameter on the nonrelativistic energy spectra of the q deformed hulthen quadratic exponential type potential |
| url | https://revista.iq.unesp.br/ojs/index.php/ecletica/article/view/1216 |
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