Shannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model

We solved a one-dimensional time-dependent Feinberg–Horodecki equation for an improved Wei molecular energy potential function using the parametric Nikiforov–Uvarov method. The quantized momentum and the corresponding wave functions were obtained. With the help of the wave functions obtained, we cal...

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Autores principales:	Onate Clement Atachegbe, Onyeaju Michael Chukwudi, Okon Ituen Bassey
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	wave equation eigensolutions feinberg–horodecki equation theoretic quantities thermodynamic properties Physics QC1-999
Acceso en línea:	https://doaj.org/article/c388f88811e845e8b367da465b3c3c57
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spelling	oai:doaj.org-article:c388f88811e845e8b367da465b3c3c572021-12-05T14:11:02ZShannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model2391-547110.1515/phys-2021-0038https://doaj.org/article/c388f88811e845e8b367da465b3c3c572021-09-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0038https://doaj.org/toc/2391-5471We solved a one-dimensional time-dependent Feinberg–Horodecki equation for an improved Wei molecular energy potential function using the parametric Nikiforov–Uvarov method. The quantized momentum and the corresponding wave functions were obtained. With the help of the wave functions obtained, we calculated Shannon entropy for both the position space and momentum space. The results were used to study four molecules. The results of Shannon entropy were found to be in excellent agreement with those found in the literature. For more usefulness of these studies, the quantized momentum obtained was transformed into an energy equation with certain transformations. The energy equation was then used to calculate some thermodynamic properties such as vibrational mean energy, vibrational specific heat, vibrational mean free energy, and vibrational entropy via computation of the partition function. The thermodynamic properties studied for CO, NO, CH, and ScH showed that for a certain range of the temperature studied, the molecules exhibited similar features except for the vibrational entropy.Onate Clement AtachegbeOnyeaju Michael ChukwudiOkon Ituen BasseyDe Gruyterarticlewave equationeigensolutionsfeinberg–horodecki equationtheoretic quantitiesthermodynamic propertiesPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 519-533 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	wave equation eigensolutions feinberg–horodecki equation theoretic quantities thermodynamic properties Physics QC1-999
spellingShingle	wave equation eigensolutions feinberg–horodecki equation theoretic quantities thermodynamic properties Physics QC1-999 Onate Clement Atachegbe Onyeaju Michael Chukwudi Okon Ituen Bassey Shannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model
description	We solved a one-dimensional time-dependent Feinberg–Horodecki equation for an improved Wei molecular energy potential function using the parametric Nikiforov–Uvarov method. The quantized momentum and the corresponding wave functions were obtained. With the help of the wave functions obtained, we calculated Shannon entropy for both the position space and momentum space. The results were used to study four molecules. The results of Shannon entropy were found to be in excellent agreement with those found in the literature. For more usefulness of these studies, the quantized momentum obtained was transformed into an energy equation with certain transformations. The energy equation was then used to calculate some thermodynamic properties such as vibrational mean energy, vibrational specific heat, vibrational mean free energy, and vibrational entropy via computation of the partition function. The thermodynamic properties studied for CO, NO, CH, and ScH showed that for a certain range of the temperature studied, the molecules exhibited similar features except for the vibrational entropy.
format	article
author	Onate Clement Atachegbe Onyeaju Michael Chukwudi Okon Ituen Bassey
author_facet	Onate Clement Atachegbe Onyeaju Michael Chukwudi Okon Ituen Bassey
author_sort	Onate Clement Atachegbe
title	Shannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model
title_short	Shannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model
title_full	Shannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model
title_fullStr	Shannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model
title_full_unstemmed	Shannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model
title_sort	shannon entropy for feinberg–horodecki equation and thermal properties of improved wei potential model
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/c388f88811e845e8b367da465b3c3c57
work_keys_str_mv	AT onateclementatachegbe shannonentropyforfeinberghorodeckiequationandthermalpropertiesofimprovedweipotentialmodel AT onyeajumichaelchukwudi shannonentropyforfeinberghorodeckiequationandthermalpropertiesofimprovedweipotentialmodel AT okonituenbassey shannonentropyforfeinberghorodeckiequationandthermalpropertiesofimprovedweipotentialmodel
_version_	1718371500372787200

Shannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model

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