- 12-134 Pavel Exner and Diana Barseghyan
- Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes
Nov 2, 12
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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.