Perturbation theory in a framework of iteration methods

被引：188
作者：
Ciftci, H
Hall, RL
Saad, N
机构：
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada
[2] Gazi Univ, Fen Edebiyat Fak, TR-06500 Ankara, Turkey
[3] Univ Prince Edward Isl, Dept Math & Stat, Charlottetown, PE C1A 4P3, Canada
来源：
PHYSICS LETTERS A | 2005年 / 340卷 / 5-6期
基金：
加拿大自然科学与工程研究理事会;
关键词：
asymptotic iteration method; perturbation series; eigenvalue problems; Schrodinger equation;
D O I：
10.1016/j.physleta.2005.04.030
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In a previous paper [J. Phys. A 36 (2003) 11807], we introduced the 'asymptotic iteration method' for solving second-order homogeneous linear differential equations. In this Letter, we study perturbed problems in quantum mechanics and we use the method to find the coefficients in the perturbation series for the eigenvalues and eigenfunctions directly, without first solving the unperturbed problem. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：388 / 396
页数：9
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