An alternative accurate solution of the exponential cosine screened Coulomb potential


Bayrak O., Boztosun I.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.18, no.9, pp.1443-1451, 2007 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 9
  • Publication Date: 2007
  • Doi Number: 10.1142/s0129183107011455
  • Title of Journal : INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Page Numbers: pp.1443-1451

Abstract

In this paper, we show an alternative and accurate solution of the radial Schrodinger 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 any n and l values and the results are compared with the findings of different methods for several screening parameters. Moreover, we study the screening parameter delta = 0 case to obtain the energy eigenvalues and corresponding eigenfunctions of this potential in a closed-form.