On the spectrum of a vector Schrodinger operator

被引：4

作者：

Ismagilov, R. S. ^{[1
]}

Kostyuchenko, A. G.

机构：

[1] Bauman Moscow State Tech Univ, Moscow, Russia

[2] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2007年 / 41卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Schrodinger operator; self-adjointness; discrete spectrum; counting function;

D O I：

10.1007/s10688-007-0003-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the asymptotics of the spectrum of a Sturm-Liouville operator acting on a space of vector functions and show that this asymptotics is affected by "rotation" of eigenvectors of the potential. A similar result is obtained for a vector Schrodinger operator.

引用

页码：31 / 41

页数：11

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