On resonant spectral gap opening in quantum graph networks
Mathematical Physics
2016-03-08 v2 math.MP
Abstract
In this brief paper we present some results on creating and manipulating spectral gaps for a (regular) quantum graph by inserting appropriate internal structures into its vertices. Complete proofs and extensions of the results are planned for another publication.
Keywords
Cite
@article{arxiv.1601.04774,
title = {On resonant spectral gap opening in quantum graph networks},
author = {Ngoc T. Do and Peter Kuchment and Beng Ong},
journal= {arXiv preprint arXiv:1601.04774},
year = {2016}
}
Comments
V2: some small text corrections and an extension of the result