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Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2013 (English)In: Journal of Mathematical Chemistry, ISSN 0259-9791, E-ISSN 1572-8897, Vol. 51, no 1, 227-238 p.Article in journal (Refereed) Published
Abstract [en]

We obtain the bound-state solutions of the radial Schrodinger equation with the shifted Deng-Fan oscillator potential in the frame of the Nikiforov-Uvarov method by employing Pekeris-type approximation to deal with the centrifugal term. The analytical expressions for the energy eigenvalues and the corresponding normalized wave functions are obtained in closed form for arbitrary l-state. The ro-vibrational energy levels for a few diatomic molecules are also calculated. They are found to be in good agreement with those ones previously obtained by the Morse potential.

Place, publisher, year, edition, pages
2013. Vol. 51, no 1, 227-238 p.
Keyword [en]
Schrodinger equation, Shifted Deng-Fan oscillator potential, Nikiforov-Uvarov method, Approximation schemes, Diatomic molecules
National Category
Chemical Sciences Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-117649DOI: 10.1007/s10910-012-0075-xISI: 000312907600014Scopus ID: 2-s2.0-84871707792OAI: oai:DiVA.org:kth-117649DiVA: diva2:602515
Note

QC 20130201

Available from: 2013-02-01 Created: 2013-02-01 Last updated: 2017-12-06Bibliographically approved

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Thylwe, Karl-Erik

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