Monday, November 5, 2012

1211.0401 (Pavel Exner et al.)

Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes    [PDF]

Pavel Exner, Diana Barseghyan
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.
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