Quantum graphs where back-scattering is prohibited
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
We describe a new class of scattering matrices for quantum graphs in which back-scattering is prohibited. We discuss some properties of quantum graphs with these scattering matrices and explain the advantages and interest in their study. We also provide two methods to build the vertex scattering matrices needed for their construction.
Cite
@article{arxiv.0708.0839,
title = {Quantum graphs where back-scattering is prohibited},
author = {J. M. Harrison and U. Smilansky and B. Winn},
journal= {arXiv preprint arXiv:0708.0839},
year = {2009}
}
Comments
15 pages