Exact analytical solutions to the Kratzer potential by the asymptotic iteration method
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, vol.107, no.3, pp.540-544, 2007 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 107 Issue: 3
- Publication Date: 2007
- Doi Number: 10.1002/qua.21141
- Journal Name: INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.540-544
- Keywords: asymptotic iteration method (AIM), bound states, eigenvalues and eigenfunctions, Kratzer potential, analytical solution, SCHRODINGER-EQUATION, DIATOMIC-MOLECULES, NUMERICAL-SOLUTION, MULTISTEP METHODS
- Akdeniz University Affiliated: No
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.