Spectral problem for branching chain quantum graph

被引：15
|
作者：
Popov, I. Yu. [1 ]
Smirnov, P. I. [1 ]
机构：
[1] St Petersburg Natl Res Univ Informat Technol Mech, St Petersburg 197101, Russia
来源：
PHYSICS LETTERS A | 2013年 / 377卷 / 06期
关键词：
Quantum graph; Spectrum; Transfer matrix; WAVE-GUIDES;
D O I：
10.1016/j.physleta.2012.12.021
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Branching chain of rings as a quantum graph is considered. We use the transfer matrix method to obtain the spectral equation. The existence of bound states is proved. The discrete spectrum of the Schrodinger operator for the system is described. We find the dependence of the eigenvalues positions on the branching angle. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：439 / 442
页数：4
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