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Spectrum of the Schrödinger operator in a perturbed periodically twisted tube

Pavel Exner·Hynek Kovařík
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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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Pavel Exner, Hynek Kovařík. 2005-05-10. Spectrum of the Schrödinger operator in a perturbed periodically twisted tube. https://doi.org/10.1007/s11005-005-0016-8

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