Construction of exact solutions to eigenvalue problems by the asymptotic iteration method

被引:185
作者
Ciftci, H
Hall, RL
Saad, N
机构
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada
[2] Univ Prince Edward Isl, Dept Math & Stat, Charlottetown, PE C1A 4P3, Canada
[3] Gazi Univ, Fen Edebiyat Fak Fizik Bolumu, TR-06500 Ankara, Turkey
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 05期
关键词
D O I
10.1088/0305-4470/38/5/015
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We apply the asymptotic iteration method (AIM) (Ciftci, Hall and Saad 2003 J. Phys. A: Math. Gen. 36 11807) to solve new classes of second-order homogeneous linear differential equation. In particular, solutions are found for a general class of eigenvalue problems which includes Schrodinger problems with Coulomb, harmonic oscillator or Poschl-Teller potentials, as well as the special eigenproblems studied recently by Bender et al (2001 J. Phys. A: Math. Gen. 34 9835) and generalized in the present paper to arbitrary dimension.
引用
收藏
页码:1147 / 1155
页数:9
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