Polynomial solution of non-central potentials

被引：40
作者：
Ikhdair, Sameer M.
Sever, Ramazan
机构：
[1] Near East Univ, Dept Phys, Mersin 10, Turkey
[2] Middle E Tech Univ, Dept Phys, TR-06531 Ankara, Turkey
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2007年 / 46卷 / 10期
关键词：
Schrodinger equation; energy eigenvalues and eigenfunctions; non-central potentials; Nikiforov and Uvarov method;
D O I：
10.1007/s10773-007-9356-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials as special cases. The results are in exact agreement with other methods.
引用
收藏
页码：2384 / 2395
页数：12
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