Darboux transformation for the Schrodinger equation with steplike potentials

被引：5
|
作者：
Aktosun, T [1 ]
机构：
[1] N Dakota State Univ, Dept Math, Fargo, ND 58105 USA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 04期
关键词：
D O I：
10.1063/1.533254
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The one-dimensional Schrodinger equation is considered when the potential is asymptotic to a positive constant on the right half line. The corresponding Darboux transformation is established by showing how the scattering solutions, the scattering coefficients, and the potential change when bound states are added or removed. The scattering coefficients are represented as certain integrals, from which their properties can be directly extracted. (C) 2000 American Institute of Physics. [S0022-2488(00)02304-5].
引用
收藏
页码：1619 / 1631
页数：13
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