Effective Schroedinger dynamics on $ \epsilon $-thin Dirichlet waveguides via Quantum Graphs I: star-shaped graphs
Mathematical Physics
2015-05-18 v2 math.MP
Abstract
We describe the boundary conditions at the vertex that one must choose to obtain a dynamical system that best describes the low-energy part of the evolution of a quantum system confined to a very small neighbourhood of a star-shaped metric graph.
Cite
@article{arxiv.1004.4750,
title = {Effective Schroedinger dynamics on $ \epsilon $-thin Dirichlet waveguides via Quantum Graphs I: star-shaped graphs},
author = {GianFausto Dell'Antonio and Emanuele Costa},
journal= {arXiv preprint arXiv:1004.4750},
year = {2015}
}
Comments
in memory of Pierre Duclos