Spectral properties of the Schrödinger operator with δ-distribution

被引：0
|
作者：
M. Nursultanov
机构：
[1] Chalmers University of Technology,
[2] University of Gothenburg,undefined
来源：
Mathematical Notes | 2016年 / 100卷
关键词：
Schrödinger operator; semiboundedness below of the distribution functions of eigenvalues; discreteness of the spectrum of the Schrödinger operator; point interactions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For the one-dimensional Schrödinger operator with δ-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 Schrödinger operator to belong to the class Sp is established.
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页码：263 / 275
页数：12
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