Solutions of the Schrödinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimer

The one-dimensional Schrödinger equation with an improved Rosen Morse potential energy function was studied in view of supersymmetric approach. The ro-vibrational energy equation and the corresponding unnormalized radial wave function were obtained. The variation of the vibrational energy with the s...

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Main Authors:	C.A. Onate, T.A. Akanbi
Format:	Article
Language:	English
Published:	Elsevier 2021-03-01
Series:	Results in Physics
Subjects:	Eigensolution Wave equation Molecules Expectation value
Online Access:	http://www.sciencedirect.com/science/article/pii/S2211379721001352

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spelling	doaj-570ed6742e0b4019bf5d3863a08556e22021-03-07T04:29:22ZengElsevierResults in Physics2211-37972021-03-0122103961Solutions of the Schrödinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimerC.A. Onate0T.A. Akanbi1Corresponding author.; Physics Programme, Department of Physical Sciences, Landmark University, Omu-Aran, NigeriaPhysics Programme, Department of Physical Sciences, Landmark University, Omu-Aran, NigeriaThe one-dimensional Schrödinger equation with an improved Rosen Morse potential energy function was studied in view of supersymmetric approach. The ro-vibrational energy equation and the corresponding unnormalized radial wave function were obtained. The variation of the vibrational energy with the screening parameter and the exponential term were studied graphically. Some vibrational expectation values were also calculated. Using the calculated vibrational energy equation, numerical values were generated for X1∑g+ state of N2 and 51Δg state of Na2 molecules respectively. The comparison of the results for the two molecules with the RKR data showed a very good agreement.http://www.sciencedirect.com/science/article/pii/S2211379721001352EigensolutionWave equationMoleculesExpectation value
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	C.A. Onate T.A. Akanbi
spellingShingle	C.A. Onate T.A. Akanbi Solutions of the Schrödinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimer Results in Physics Eigensolution Wave equation Molecules Expectation value
author_facet	C.A. Onate T.A. Akanbi
author_sort	C.A. Onate
title	Solutions of the Schrödinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimer
title_short	Solutions of the Schrödinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimer
title_full	Solutions of the Schrödinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimer
title_fullStr	Solutions of the Schrödinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimer
title_full_unstemmed	Solutions of the Schrödinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimer
title_sort	solutions of the schrödinger equation with improved rosen morse potential for nitrogen molecule and sodium dimer
publisher	Elsevier
series	Results in Physics
issn	2211-3797
publishDate	2021-03-01
description	The one-dimensional Schrödinger equation with an improved Rosen Morse potential energy function was studied in view of supersymmetric approach. The ro-vibrational energy equation and the corresponding unnormalized radial wave function were obtained. The variation of the vibrational energy with the screening parameter and the exponential term were studied graphically. Some vibrational expectation values were also calculated. Using the calculated vibrational energy equation, numerical values were generated for X1∑g+ state of N2 and 51Δg state of Na2 molecules respectively. The comparison of the results for the two molecules with the RKR data showed a very good agreement.
topic	Eigensolution Wave equation Molecules Expectation value
url	http://www.sciencedirect.com/science/article/pii/S2211379721001352
work_keys_str_mv	AT caonate solutionsoftheschrodingerequationwithimprovedrosenmorsepotentialfornitrogenmoleculeandsodiumdimer AT taakanbi solutionsoftheschrodingerequationwithimprovedrosenmorsepotentialfornitrogenmoleculeandsodiumdimer
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Solutions of the Schrödinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimer

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