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math-ph2012★ 2 cited
Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes
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 pr…
math-ph2012★ 3 cited
Spectral estimates for Dirichlet Laplacians and Schroedinger operators on geometrically nontrivial cusps
Pavel Exner, Diana Barseghyan
The goal of this paper is to derive estimates of eigenvalue moments for Dirichlet Laplacians and Schrödinger operators in regions having infinite cusps which are geometrically nont…