An approximation to $\delta'$ couplings on graphs
Quantum Physics
2009-11-10 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
We discuss a general parametrization for vertices of quantum graphs and show, in particular, how the and coupling at an edge vertex can be approximated by means of couplings of the type provided the latter are properly scaled.
Cite
@article{arxiv.quant-ph/0404136,
title = {An approximation to $\delta'$ couplings on graphs},
author = {Taksu Cheon and Pavel Exner},
journal= {arXiv preprint arXiv:quant-ph/0404136},
year = {2009}
}
Comments
10 pages, LaTeX, 1 figure added, to be published in J. of Phys. A