Twisting versus bending in quantum waveguides
arXiv:0712.3371
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.
20 pages, LaTeX with 3 EPS figures. This is a corrected version of the published paper; errata in Section 6 corrected