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Please use this identifier to cite or link to this item: http://hdl.handle.net/11129/2776

Title: Energy levels of neutral atoms via a new perturbation method
Authors: Mustafa, Omar
Odeh, Maen
Eastern Mediterranean University, Faculty of Arts ans Sciences, Department of Physics
TR217733
Keywords: Schrödinger equation, Yukawa potential, PSLET
YUKAWA, HULTHEN, EIGENVALUES, COULOMB POTENTIALS
SCHRODINGER-EQUATION, SCREENED COULOMB, PHYSICS, MULTIDISCIPLINARY
BOUND-STATES, SHIFTED 1/N EXPANSION
Schrodinger equation, Mathematical Physics
Issue Date: 2001
Publisher: Inst Physıcs Acad Scı Czech Republıc
Citation: O. Mustafa and M. Odeh, Czech. J. Phys. 51, 199 (2001) Energy levels of neutral atoms via a new perturbation method. SCI journal.
Abstract: The energy levels of neutral atoms supported by Yukawa potential, V(r)=-Z exp(-\alpha r)/r, are studied, using both dimensional and dimensionless quantities, via a new analytical methodical proposal (devised to solve for nonexactly solvable Schrodinger equation). Using dimensionless quantities, by scaling the radial Hamiltonian through y=Zr and \alpha^{'}=\alpha/Z, we report that the scaled screening parameter \alpha^{'} is restricted to have values ranging from zero to less than 0.4. On the other hand, working with the scaled Hamiltonian enhances the accuracy and extremely speeds up the convergence of the energy eigenvalues. The energy levels of several new eligible scaled screening parameter \alpha^{'} values are also reported.
Description: Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication
URI: http://dx.doi.org/10.1023/A:1002880930770
http://hdl.handle.net/11129/2776
Appears in Collections:PHY – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Physics

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