Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes
Mathematical Physics
2019-12-10 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
We investigate Dirichlet Laplacian in a straight twisted tube of a non-circular cross section, in particular, its discrete spectrum coming from a local slowdown of the twist. We prove a Lieb-Thirring-type estimate for the spectral moments and present two examples illustrating how the bound depends on the tube cross section.
Keywords
Cite
@article{arxiv.1211.0401,
title = {Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes},
author = {Pavel Exner and Diana Barseghyan},
journal= {arXiv preprint arXiv:1211.0401},
year = {2019}
}
Comments
17 pages, 2 figures