On the limiting absorption principle and spectra of quantum graphs

被引：0
作者：
Ong, Beng-Seong [1 ]
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
QUANTUM GRAPHS AND THEIR APPLICATIONS | 2006年 / 415卷
关键词：
quantum graphs; limiting absorption principle; spectrum; Dirichlet-to-Neumann;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main result of the article is validity of the limiting absorption principle for finite quantum graphs with several infinite leads attached. This in particular implies absence of singular continuous spectrum, which could also be proven by other means. The technique used involves Dirichlet-to-Neumann operators.
引用
收藏
页码：241 / 249
页数：9
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