AN ALTERNATIVE ACCURATE SOLUTION OF THE EXPONENTIAL COSINE SCREENED COULOMB POTENTIAL

O. Bayrak () and I. Boztosun
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O. Bayrak: Faculty of Arts and Sciences, Department of Physics, Bozok University, Yozgat, Turkey;
I. Boztosun: Faculty of Arts and Sciences, Department of Physics, Erciyes University, Kayseri, Turkey

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 09, 1443-1451

Abstract: In this paper, we show an alternative and accurate solution of the radial Schrödinger equation for the exponential cosine screened Coulomb potential within the framework of the asymptotic iteration method. Unlike other methods, which require approximations for the centrifugal or exponential terms, we show that it is possible to solve the full potential without making any approximations within the framework of this method. The bound state energy eigenvalues are obtained for anynandlvalues and the results are compared with the findings of different methods for several screening parameters. Moreover, we study the screening parameterδ = 0case to obtain the energy eigenvalues and corresponding eigenfunctions of this potential in a closed-form.

Keywords: Asymptotic iteration method; bound states; eigenvalues; exponential cosine Screened Coulomb potential; 03.65.Ge (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107011455

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