Approximate Bound States Solution of the Hellmann Potential
2013 (English)In: Communications in Theoretical Physics, ISSN 0253-6102, Vol. 60, no 1, 1-8 p.Article in journal (Refereed) Published
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.
Schrodinger equation, Hellmann potential, Nikiforov-Uvarov method
IdentifiersURN: urn:nbn:se:kth:diva-129128DOI: 10.1088/0253-6102/60/1/01ISI: 000322428800001ScopusID: 2-s2.0-84880900305OAI: oai:DiVA.org:kth-129128DiVA: diva2:650140
QC 201309202013-09-202013-09-192013-09-20Bibliographically approved