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Spectrum of the Schrödinger Operator in a Perturbed Periodically Twisted Tube

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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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Authors and Affiliations

  1. Department of Theoretical Physics, Nuclear Physics Institute, Czech Academy of Sciences, CZ-25068, Řež near Prague, Czech Republic

    P. Exner & H. Kovařík

  2. Doppler Institute, Czech Technical University, Břehová 7, CZ-11519, Prague, Czech Republic

    P. Exner

  3. Institute for Analysis, Dynamics and Modeling, Faculty of Mathematics and Physics, Stuttgart University, PF 80 11 40, D-70569, Stuttgart, Germany

    H. Kovařík

Authors
  1. P. Exner
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  2. H. Kovařík
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Correspondence to P. Exner.

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Mathematical Subject Classifications: 35P05, 81Q10.

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Exner, P., Kovařík, H. Spectrum of the Schrödinger Operator in a Perturbed Periodically Twisted Tube. Lett Math Phys 73, 183–192 (2005). https://doi.org/10.1007/s11005-005-0016-8

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  • DOI: https://doi.org/10.1007/s11005-005-0016-8

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