Spectra of "fattened" open book structures
Mathematical Physics
2019-08-20 v1 math.MP
Abstract
We establish convergence of spectra of Neumann Laplacian in a thin neighborhood of a branching 2D structure in 3D to the spectrum of an appropriately defined operator on the structure itself. This operator is a 2D analog of the well known by now quantum graphs. As in the latter case, such considerations are triggered by various physics and engineering applications.
Cite
@article{arxiv.1908.06222,
title = {Spectra of "fattened" open book structures},
author = {James E. Corbin and Peter Kuchment},
journal= {arXiv preprint arXiv:1908.06222},
year = {2019}
}