Inverse spectral problem for quantum graphs

被引：110
|
作者：
Kurasov, P
Nowaczyk, M
机构：
[1] Lund Inst Technol, Dept Math, S-21000 Lund, Sweden
[2] St Petersburg State Univ, Dept Phys, St Petersburg 198504, Russia
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 22期
关键词：
D O I：
10.1088/0305-4470/38/22/014
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It is shown that this problem has a unique solution for graphs with rationally independent edges and without vertices having valence 2. To prove the result, a trace formula connecting the spectrum of the Laplace operator with the set of periodic orbits for the metric graph is established.
引用
收藏
页码：4901 / 4915
页数：15
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