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

页码：483 / 489

页数：7

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