On the spectrum of discrete Schrodinger equation with one-dimensional perturbation

被引：0
|
作者：
Borzov, V. V. [1 ]
Damaskinsky, E. V. [2 ]
机构：
[1] St Petersburg State Univ Telecommun, Dept Math, 22-1 Prospekt Bolshevikov, St Petersburg 193232, Russia
[2] VI IT, Dept Math, Zacharievskaya 22, St Petersburg 191123, Russia
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DAYS ON DIFFRACTION 2016 (DD) | 2016年
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the spectrum of the discrete Schrodinger equation with one-dimensional perturbation. We obtain an explicit form of scattering matrix and find an exact condition of the absence of the singular part of the spectrum. We also calculated the eigen-value that appears if this condition is not true. In the last part of our paper, we give few remarks on the case of two-dimensional perturbations.
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页码：73 / 78
页数：6
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