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We study Dirichlet Laplacian in a screw-shaped region, i.e. a straighttwisted tube of a non-circular cross section. It is shown that a localperturbation which consists of "slowing down" the twisting in the mean givesrise to a non-empty discrete spectrum.Comment: LaTeX2e, 10 page

Spectrum of the Schrödinger Operator in a Perturbed Periodically Twisted Tube