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Approximate analytical solution of the yukawa potential with arbitrary angular momenta
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2012 (English)In: Chinese Physics Letters, ISSN 0256-307X, E-ISSN 1741-3540, Vol. 29, no 8, 080302- p.Article in journal (Refereed) Published
Abstract [en]

The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov method, we obtain approximate analytical solutions of the radial Schrödinger equation for the Yukawa potential. The energy eigenvalues and the corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented and show that these results are in good agreement with those obtained previously by other methods. Also, we find the energy levels of the familiar pure Coulomb potential energy levels when the screening parameter of the Yukawa potential goes to zero.

Place, publisher, year, edition, pages
2012. Vol. 29, no 8, 080302- p.
Keyword [en]
Screened Coulomb Potentials, Radial Schrodinger-Equation, Spin-Isospin Dependence, Exact Quantization Rule, Neutral Atoms, Energy-Levels, Perturbative Treatment, Physical Potentials, State Solutions, Wave-Functions
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-101546DOI: 10.1088/0256-307X/29/8/080302ISI: 000307667100005ScopusID: 2-s2.0-84864925145OAI: diva2:549885

QC 20120905

Available from: 2012-09-05 Created: 2012-08-30 Last updated: 2012-09-21Bibliographically approved

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Thylwe, Karl-Erik
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