Weakly coupled Schrodinger operators on regular metric trees

被引：6

作者：

Kovarik, Hynek ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Anal Dynam & Modeling, D-70569 Stuttgart, Germany

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2007年 / 39卷 / 04期

关键词：

Schrodinger operator; Sturm-Liouville problems; metric trees;

D O I：

10.1137/070682733

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Spectral properties of the Schrodinger operator A(lambda) = -Delta + lambda V on regular metric trees are studied. It is shown that as lambda goes to zero the asymptotical behavior of the negative eigenvalues of A(lambda) depends on the global structure of the tree.

引用

页码：1135 / 1149

页数：15

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