Approximate and analytical bound state solutions of the Frost–Musulin potential

Despite all the attempts made by several authors to investigate the bound state solutions of the Schrödinger equation with various potentials, until now, such investigations have not been conducted for Frost–Musulin diatomic potential. In this study, we obtain the approximate bound state solution of...

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Bibliographic Details
Published inCanadian journal of physics Vol. 92; no. 1; pp. 18 - 21
Main Authors Adepoju, A.G., Eweh, E.J.
Format Journal Article
LanguageEnglish
Published Ottawa NRC Research Press 01.01.2014
Canadian Science Publishing NRC Research Press
Subjects
02.30.Gp
03.65.Ge
03.65.–w
Accuracy
Approximation
Approximation theory
Comparative analysis
Frost
Functional analysis
Mathematical research
Schrodinger equation
Nigeria
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Summary:Despite all the attempts made by several authors to investigate the bound state solutions of the Schrödinger equation with various potentials, until now, such investigations have not been conducted for Frost–Musulin diatomic potential. In this study, we obtain the approximate bound state solution of this potential via the functional analysis method. We also numerically solved the Schrödinger equation without any approximation to centrifugal term for the same potential. The comparisons between the results reveal the accuracy of our approximate results for short-range potential.
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ISSN:0008-4204
1208-6045
DOI:10.1139/cjp-2013-0299