Exact analytical solutions to the Kratzer potential by the asymptotic iteration method


Bayrak O., Boztosun I., Ciftci H.

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, vol.107, no.3, pp.540-544, 2007 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 107 Issue: 3
  • Publication Date: 2007
  • Doi Number: 10.1002/qua.21141
  • Title of Journal : INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
  • Page Numbers: pp.540-544

Abstract

For any n and l values, we present a simple exact analytical solution of the radial Schrodinger equation for the Kratzer potential within the framework of the asymptotic iteration method (AIM). The exact bound-state energy eigenvalues (E-nl) and corresponding eigenfunctions (R-nl) are calculated for various values of n and l quantum numbers for CO, NO, O-2, and I-2 diatomic molecules. (C) 2006 Wiley Periodicals, Inc.