Twisting versus bending in quantum waveguides
Mathematical Physics
2009-03-25 v2 Mesoscale and Nanoscale Physics
math.MP
Spectral Theory
Abstract
We make an overview of spectral-geometric effects of twisting and bending in quantum waveguides modelled by the Dirichlet Laplacian in an unbounded three-dimensional tube of uniform cross-section. We focus on the existence of Hardy-type inequalities in twisted tubes of non-circular cross-section.
Cite
@article{arxiv.0712.3371,
title = {Twisting versus bending in quantum waveguides},
author = {David Krejcirik},
journal= {arXiv preprint arXiv:0712.3371},
year = {2009}
}
Comments
20 pages, LaTeX with 3 EPS figures. This is a corrected version of the published paper; errata in Section 6 corrected