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...

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Autores principales:	C. A. Onate, M. C. Onyeaju, E. Omugbe, I. B. Okon, O. E. Osafile
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/a33b1deb052840bba9d7df83ff8acdbf
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spelling	oai:doaj.org-article:a33b1deb052840bba9d7df83ff8acdbf2021-12-02T14:07:48ZBound-state solutions and thermal properties of the modified Tietz–Hua potential10.1038/s41598-021-81428-92045-2322https://doaj.org/article/a33b1deb052840bba9d7df83ff8acdbf2021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-81428-9https://doaj.org/toc/2045-2322Abstract 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.C. A. OnateM. C. OnyeajuE. OmugbeI. B. OkonO. E. OsafileNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-14 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q 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
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.
format	article
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
title	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_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_sort	bound-state solutions and thermal properties of the modified tietz–hua potential
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/a33b1deb052840bba9d7df83ff8acdbf
work_keys_str_mv	AT caonate boundstatesolutionsandthermalpropertiesofthemodifiedtietzhuapotential AT mconyeaju boundstatesolutionsandthermalpropertiesofthemodifiedtietzhuapotential AT eomugbe boundstatesolutionsandthermalpropertiesofthemodifiedtietzhuapotential AT ibokon boundstatesolutionsandthermalpropertiesofthemodifiedtietzhuapotential AT oeosafile boundstatesolutionsandthermalpropertiesofthemodifiedtietzhuapotential
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Bound-state solutions and thermal properties of the modified Tietz–Hua potential

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