Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes
arXiv:1211.0401 · doi:10.7153/oam-08-09
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.
17 pages, 2 figures