Common eigenvalue problem and periodic Schrodinger operators

被引：0

作者：

Mikhailets, VA ^{[1
]}

Sobolev, AV

机构：

[1] Univ Sussex, Ctr Math Anal & Its Applicat, Brighton BN1 9QH, E Sussex, England

[2] Ukrainian Acad Sci, Inst Math, UA-252601 Kiev 4, Ukraine

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1999年 / 165卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

periodic Schrodinger operator; absolutely continuous spectrum; local point interactions; self-adjoint extensions; common eigenvalues;

D O I：

10.1006/jfan.1999.3406

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let U be a subset of the family of all self-adjoint extensions of a symmetric operator A(0) with equal deficiency indices in a Hilbert space. Assuming that A(0) has a purely residual spectrum we describe the set of eigenvalues common to all self-adjoint extensions from U. This abstract result is used to show that the one-dimensional periodic Schrodinger operator with local point interactions is absolutely continuous. (C) 1999 Academic Press.

引用

页码：150 / 172

页数：23

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