Note on the Role of Symmetry in Scattering from Isospectral Graphs and Drums

被引：0
|
作者：
Band, R. [1 ,2 ]
Sawicki, A. [1 ,3 ]
Smilansky, U. [2 ,4 ,5 ]
机构：
[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England
[2] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel
[3] Polish Acad Sci, Ctr Theoret Phys, PL-02668 Warsaw, Poland
[4] Cardiff Univ, Cardiff Sch Math, Cardiff CF24 4AG, S Glam, Wales
[5] Cardiff Univ, WIMCS, Cardiff CF24 4AG, S Glam, Wales
来源：
ACTA PHYSICA POLONICA A | 2011年 / 120卷 / 6A期
关键词：
ONE HEAR; QUANTUM GRAPHS; SHAPE; MANIFOLDS; SURFACES;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss scattering from pairs of isospectral quantum graphs constructed using the method described in the papers of Parzanchevski, Band and Ben-Shach. It was shown in the paper of Band et al. that scattering matrices of such graphs have the same spectrum and polar structure, provided that infinite leads are attached in a way which preserves the symmetry of isospectral construction. In the current paper we compare this result with the conjecture put forward by Okada et al. that the pole distribution of scattering matrices in the exterior of isospectral domains in R-2 is different.
引用
收藏
页码：A149 / A153
页数：5
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