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Approximate Bound States Solution of the Hellmann Potential
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2013 (English)In: Communications in Theoretical Physics, ISSN 0253-6102, Vol. 60, no 1, 1-8 p.Article in journal (Refereed) Published
Abstract [en]

The Hellmann potential, which is a superposition of an attractive Coulomb potential -a/r and a Yukawa potential b e(-delta r)/r, is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov (NU) method, we have obtained the approximate analytical solutions of the radial Schrodinger equation (SE) for the Hellmann potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented, which show good agreement with a numerical amplitude phase method and also those previously obtained by other methods. As a particular case, we find the energy levels of the pure Coulomb potential.

Place, publisher, year, edition, pages
2013. Vol. 60, no 1, 1-8 p.
Keyword [en]
Schrodinger equation, Hellmann potential, Nikiforov-Uvarov method
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-129128DOI: 10.1088/0253-6102/60/1/01ISI: 000322428800001ScopusID: 2-s2.0-84880900305OAI: diva2:650140

QC 20130920

Available from: 2013-09-20 Created: 2013-09-19 Last updated: 2013-09-20Bibliographically approved

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