Spectrum of the Schrödinger operator in a perturbed periodically twisted tube

Details Spectrum of the Schrödinger operator in a perturbed periodically twisted tube Spectrum of the Schrödinger operator in a perturbed periodically twisted tube

2005-05-10

arxiv.org/abs/math-ph/0505030v1

Lett. Math. Phys. 73 (2005), 183-192

Physics

Mathematical Physics

LaTeX2e, 10 pages

Scientific paper

10.1007/s11005-005-0016-8

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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