Vertex coupling in quantum graphs: approximations by scaled Schroedinger operators
Mathematical Physics
2010-12-13 v2 Mesoscale and Nanoscale Physics
math.MP
Quantum Physics
Abstract
We review recent progress in understanding the physical meaning of quantum graph models through analysis of their vertex coupling approximations.
Keywords
Cite
@article{arxiv.1011.6019,
title = {Vertex coupling in quantum graphs: approximations by scaled Schroedinger operators},
author = {Pavel Exner},
journal= {arXiv preprint arXiv:1011.6019},
year = {2010}
}
Comments
22 pages, to appear in Proceedings of the ICM satellite conference "Mathematics in Science and Technology" (New Delhi, August 15-17, 2010); in the revised version some typos are corrected and a figure is reformatted