Analytical approximations to the l-wave solutions of the Schrodinger equation with a hyperbolic potential

被引：13
|
作者：
Dong, Shishan [1 ]
Miranda, S. G. [2 ]
Enriquez, F. M. [2 ]
Dong, Shi-Hai [2 ]
机构：
[1] Dalian Univ, Ctr Computat, Dalian 116622, Peoples R China
[2] Inst Politecn Nacl, Escuela Super Fis & Matemat, Dept Fis, Unidad Profes Adolfo Lopez Mateos, Mexico City 07738, DF, Mexico
来源：
MODERN PHYSICS LETTERS B | 2008年 / 22卷 / 07期
关键词：
bound states; hyperbolic potential; arbitrary l state;
D O I：
10.1142/S0217984908015024
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The bound-state solutions of the Schrodinger equation for a hyperbolic potential with the centrifugal term are presented approximately. It is shown that the solutions can be expressed by the hypergeometric function 2F(1) (a, b; c; z). To show the accuracy of our results, we calculate the energy levels numerically for arbitrary quantum numbers n and l. It is found that the results are in good agreement with those obtained by other methods for short-range potential. Two special cases for l = 0 and sigma = 1 are also studied briefly.
引用
收藏
页码：483 / 489
页数：7
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