Twisting versus bending in quantum waveguides

Details Twisting versus bending in quantum waveguides Twisting versus bending in quantum waveguides

2007-12-20

arxiv.org/abs/0712.3371v2

Proc. Sympos. Pure Math., vol. 77, pp. 617-636, Amer. Math. Soc., Providence, RI, 2008

Physics

Mathematical Physics

20 pages, LaTeX with 3 EPS figures. This is a corrected version of the published paper; errata in Section 6 corrected

Scientific paper

We make an overview of spectral-geometric effects of twisting and bending in
quantum waveguides modelled by the Dirichlet Laplacian in an unbounded
three-dimensional tube of uniform cross-section. We focus on the existence of
Hardy-type inequalities in twisted tubes of non-circular cross-section.

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