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Spectrum of the schrodinger operator in a perturbed periodically twisted tube

Result description

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.

Keywords

Schrödinger operatordiscrete spectrumtwisting

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Spectrum of the schrodinger operator in a perturbed periodically twisted tube

  • Original language description

    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.

  • Czech name

    Spektrum Schrödingerova operátoru v porušené periodicky zkřivené trubici

  • Czech description

    Studujeme Dirichletův Laplacián ve šroubovité oblasti; ukazujeme, že lokální ?zpomalení? torze vede ke vzniku diskrétního spektra.

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2005

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Letters in Mathematical Physics

  • ISSN

    0377-9017

  • e-ISSN

  • Volume of the periodical

    73

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    9

  • Pages from-to

    183-192

  • UT code for WoS article

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BE - Theoretical physics

Year of implementation

2005