Analytical approximations to the Schrodinger equation for a second Poschl-Teller-like potential with centrifugal term

被引：64

作者：

Dong, Shi-Hai ^{[1
]}

Qiang, Wen-Chao ^{[2
]}

Garcia-Ravelo, J. ^{[1
]}

机构：

[1] Inst Politecn Nacl, Unidad Profes Adolfo Lopez Mateos, Dept Fis, Escuela Super Fis & Matemat, Mexico City 07738, DF, Mexico

[2] Xian Univ Architecture & Technol, Fac Sci, Xian 710055, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2008年 / 23卷 / 10期

基金：

美国国家科学基金会;

关键词：

bound states; second Poschl-Teller-like potential; centrifugal term;

D O I：

10.1142/S0217751X0803944X

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The bound state solutions of the Schrodinger equation for a second Poschl-Teller-like potential with the centrifugal term are obtained approximately. It is found that the solutions can be expressed in terms of the hypergeometric functions F-2(1)(a,b;c;z). To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers n and l. It is found that the results are in good agreement with those obtained by other method for short-range potential. Two special cases for l = 0 and V-1 = V-2 are also studied briefly.

引用

页码：1537 / 1544

页数：8

共 24 条

[1]

Bagrov V.G., 1990, Exact Solution of Relativistic Wave Equations

[2] Any l-state solutions of the Hulthen potential by the asymptotic iteration method [J].