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

被引：200

作者：

Bayrak, O. ^{[1
]}

Boztosun, I.

Ciftci, H.

机构：

[1] Bozok Univ, Fac Arts & Sci, Dept Phys, Yozgat, Turkey

[2] Erciyes Univ, Fac Arts & Sci, Dept Phys, Kayseri, Turkey

[3] Gazi Univ, Fen Edebiyat Fak, Fiz Bolumu, TR-06500 Teknikokullar, Turkey

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2007年 / 107卷 / 03期

关键词：

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

D O I：

10.1002/qua.21141

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

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.

引用

页码：540 / 544

页数：5

共 15 条

[1]

[Anonymous], 1988, SPECIAL FUNCTIONS MA, DOI DOI 10.1007/978-1-4757-1595-8

[2]

Brewer L., 1969, ADVANCES HIGH TEMPER, V2, P1

[3] Perturbation theory in a framework of iteration methods [J].