4.4 Article

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

Journal

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
Volume 107, Issue 3, Pages 540-544

Publisher

JOHN WILEY & SONS INC
DOI: 10.1002/qua.21141

Keywords

asymptotic iteration method (AIM); bound states; eigenvalues and eigenfunctions; Kratzer potential; analytical solution

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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.

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