Bound-state solutions and thermal properties of the modified Tietz–Hua potential
Abstract An approximate solutions of the radial Schrödinger equation was obtained under a modified Tietz–Hua potential via supersymmetric approach. The effect of the modified parameter and optimization parameter respectively on energy eigenvalues were graphically and numerically examined. The compar...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2021-01-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-81428-9 |
| _version_ | 1818752030286544896 |
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| author | C. A. Onate M. C. Onyeaju E. Omugbe I. B. Okon O. E. Osafile |
| author_facet | C. A. Onate M. C. Onyeaju E. Omugbe I. B. Okon O. E. Osafile |
| author_sort | C. A. Onate |
| collection | DOAJ |
| description | Abstract An approximate solutions of the radial Schrödinger equation was obtained under a modified Tietz–Hua potential via supersymmetric approach. The effect of the modified parameter and optimization parameter respectively on energy eigenvalues were graphically and numerically examined. The comparison of the energy eigenvalues of modified Tietz–Hua potential and the actual Tietz–Hua potential were examined. The ro-vibrational energy of four molecules were also presented numerically. The thermal properties of the modified Tietz–Hua potential were calculated and the effect of temperature on each of the thermal property were examined under hydrogen fluoride, hydrogen molecule and carbon (ii) oxide. The study reveals that for a very small value of the modified parameter, the energy eigenvalues of the modified Tietz–Hua potential and that of the actual Tietz–Hua potential are equivalent. Finally, the vibrational energies for Cesium molecule was calculated and compared with the observed value. The calculated results were found to be in good agreement with the observed value. |
| first_indexed | 2024-12-18T04:44:59Z |
| format | Article |
| id | doaj.art-a33b1deb052840bba9d7df83ff8acdbf |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-18T04:44:59Z |
| publishDate | 2021-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-a33b1deb052840bba9d7df83ff8acdbf2022-12-21T21:20:36ZengNature PortfolioScientific Reports2045-23222021-01-0111111410.1038/s41598-021-81428-9Bound-state solutions and thermal properties of the modified Tietz–Hua potentialC. A. Onate0M. C. Onyeaju1E. Omugbe2I. B. Okon3O. E. Osafile4Physics Programme, Department of Physical Sciences, Landmark UniversityTheoretical Physics Group, Department of Physics, University of Port HarcourtDepartment of Physics, Federal University of Petroleum ResourcesTheoretical Physics Group, Department of Physics, University of UyoDepartment of Physics, Federal University of Petroleum ResourcesAbstract An approximate solutions of the radial Schrödinger equation was obtained under a modified Tietz–Hua potential via supersymmetric approach. The effect of the modified parameter and optimization parameter respectively on energy eigenvalues were graphically and numerically examined. The comparison of the energy eigenvalues of modified Tietz–Hua potential and the actual Tietz–Hua potential were examined. The ro-vibrational energy of four molecules were also presented numerically. The thermal properties of the modified Tietz–Hua potential were calculated and the effect of temperature on each of the thermal property were examined under hydrogen fluoride, hydrogen molecule and carbon (ii) oxide. The study reveals that for a very small value of the modified parameter, the energy eigenvalues of the modified Tietz–Hua potential and that of the actual Tietz–Hua potential are equivalent. Finally, the vibrational energies for Cesium molecule was calculated and compared with the observed value. The calculated results were found to be in good agreement with the observed value.https://doi.org/10.1038/s41598-021-81428-9 |
| spellingShingle | C. A. Onate M. C. Onyeaju E. Omugbe I. B. Okon O. E. Osafile Bound-state solutions and thermal properties of the modified Tietz–Hua potential Scientific Reports |
| title | Bound-state solutions and thermal properties of the modified Tietz–Hua potential |
| title_full | Bound-state solutions and thermal properties of the modified Tietz–Hua potential |
| title_fullStr | Bound-state solutions and thermal properties of the modified Tietz–Hua potential |
| title_full_unstemmed | Bound-state solutions and thermal properties of the modified Tietz–Hua potential |
| title_short | Bound-state solutions and thermal properties of the modified Tietz–Hua potential |
| title_sort | bound state solutions and thermal properties of the modified tietz hua potential |
| url | https://doi.org/10.1038/s41598-021-81428-9 |
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