Spectra of Half-Infinite Quantum Graph Tubes
Mathematical Physics
2016-01-26 v2 math.MP
Abstract
Carbon nanotubes are a feverishly-studied topic in the scientific community as of late. Mathematically, they can be modeled with a quantum graph. Here we consider a structure somewhat similar to carbon nanotubes, another quantum graph that is formed by rolling a square lattice instead of a graphene structure. This symmetry imposes properties that make certain motions easier to study by creating convenient pairs of incoming and outgoing motions.
Cite
@article{arxiv.1601.05029,
title = {Spectra of Half-Infinite Quantum Graph Tubes},
author = {Jeremy Tillay},
journal= {arXiv preprint arXiv:1601.05029},
year = {2016}
}
Comments
10 pages