On the limiting absorption principle and spectra of quantum graphs
Mathematical Physics
2007-05-23 v1 math.MP
Spectral Theory
Abstract
The main result of the article is validity of the limiting absorption principle and thus absence of the singular continuous spectrum for compact quantum graphs with several infinite leads attached. The technique used involves Dirichlet-to-Neumann operators.
Keywords
Cite
@article{arxiv.math-ph/0510036,
title = {On the limiting absorption principle and spectra of quantum graphs},
author = {Beng-Seong Ong},
journal= {arXiv preprint arXiv:math-ph/0510036},
year = {2007}
}
Comments
11 pages, 2 figures