Spectral properties of the Schrodinger operator with δ-distribution

被引：2

作者：

Nursultanov, M. ^{[1
,2
]}

机构：

[1] Chalmers Univ Technol, Gothenburg, Sweden

[2] Univ Gothenburg, Gothenburg, Sweden

来源：

MATHEMATICAL NOTES | 2016年 / 100卷 / 1-2期

关键词：

Schrodinger operator; semiboundedness below of the distribution functions of eigenvalues; discreteness of the spectrum of the Schrodinger operator; point interactions; POINT INTERACTIONS;

D O I：

10.1134/S000143461607021X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the one-dimensional Schrodinger operator with delta-interactions, two-sided estimates of the distribution function of the eigenvalues and a criterion for the discreteness of the spectrum in terms of the Otelbaev function are obtained. A criterion for the resolvent of the Schrodinger operator to belong to the class S (p) is established.

引用

页码：263 / 275

页数：13

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