Green function approach for general quantum graphs

被引：24
|
作者：
Schmidt, AGM [1 ]
Cheng, BK [1 ]
da Luz, MGE [1 ]
机构：
[1] Univ Fed Parana, Dept Fis, Caixa Postal 19044, BR-81531990 Curitiba, Parana, Brazil
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 42期
关键词：
D O I：
10.1088/0305-4470/36/42/L01
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present a recursive prescription to calculate the exact Green function for general quantum graphs. For the closed case, the expression for the poles of G-which gives the individual eigenstates-has the structure of a semiclassical formula, where the sum over the periodic orbit is already performed. As applications we discuss eigenstate localization for a three-arm closed star and filter-like mechanisms for transmission throughout an open trident graph.
引用
收藏
页码：L545 / L551
页数：7
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