On the Coulomb-type potential of the one-dimensional Schrodinger equation

被引：57
|
作者：
Ran, YQ [1 ]
Xue, LH
Hu, SZ
Su, RK
机构：
[1] Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
[2] SW China Normal Univ, Dept Phys, Chongqing 400715, Peoples R China
[3] China Ctr Adv Sci & Technol, World Lab, Beijing 100080, Peoples R China
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 50期
关键词：
D O I：
10.1088/0305-4470/33/50/310
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By means of the Laplace transform and a series expansion, exact solutions of the bound state for the one-dimensional Schrodinger equation with a potential -Ze(2)/x are given. We found that the energy levels are proportional to 1/n(2) (n = 1, 2, 3,...) and the value of the wavefunction of the bound state at the origin is zero. The reasons for the wrong answer that the energy levels are proportional to (n + 1/2)(-2) with n an integer are analysed.
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页码：9265 / 9272
页数：8
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