Spectrum of the Schrödinger operator in a perturbed periodically twisted tube
Pavel Exner, Hynek Kovařík
Abstract
We study Dirichlet Laplacian in a screw-shaped region, i.e. a straight twisted tube of a non-circular cross section. It is shown that a local perturbation which consists of "slowing down" the twisting in the mean gives rise to a non-empty discrete spectrum.
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