Application of the asymptotic iteration method to the exponential cosine screened coulomb potential

Bayrak O., Boztosun I.

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, vol.107, no.5, pp.1040-1045, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 107 Issue: 5
  • Publication Date: 2007
  • Doi Number: 10.1002/qua.21240
  • Journal Name: INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1040-1045
  • Keywords: asymptotic iteration method, bound states, energy eigenvalues, perturbation theory, EIGENVALUE PROBLEMS, PERTURBATION-THEORY, EXPANSION, ENERGIES
  • Akdeniz University Affiliated: No

Abstract

We present the iterative solutions of the radial Schrodinger equation for the exponential cosine screened Coulomb (ECSC) potential for any n and l quantum states by applying the asymptotic iteration method (AIM). We show that it is possible to obtain the solution as accurate as the other methods without any perturbation. Furthermore, there are no tedious mathematical difficulties and restrictions on finding the energy eigenvalues for any n and I quantum numbers. Our results are in excellent agreement with the ones published in the literature. (c) 2006 Wiley Periodicals, Inc.