Approximate Analytical Solution of the Yukawa Potential with Arbitrary Angular Momenta

doi:10.1088/0256-307X/29/8/080302

Chin. Phys. Lett.

2012, Vol. 29

Issue (8): 080302 DOI: 10.1088/0256-307X/29/8/080302

GENERAL

Approximate Analytical Solution of the Yukawa Potential with Arbitrary Angular Momenta

M. Hamzavi^1*, M. Movahedi², K.-E. Thylwe³, A. A. Rajabi⁴

¹Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
²Department of Physics, Golestan University, Gorgan, Iran
³KTH-Mechanics, Royal Institute of Technology, S-100 44 Stockholm, Sweden
⁴Physics Department, Shahrood University of Technology, Shahrood, Iran

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Abstract 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 Schr?dinger 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.

Received: 06 March 2012 Published: 31 July 2012

PACS:	03.65.Fd	(Algebraic methods)
	02.30.Gp	(Special functions)
	03.65.Ge	(Solutions of wave equations: bound states)

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