Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes

Research paper by Pavel Exner, Diana Barseghyan

Indexed on: 02 Nov '12Published on: 02 Nov '12Published in: Mathematical 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.