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Geometrically induced discrete spectrum in curved tubes

Result description

We prove the existence of discrete spectrum for the Dirichlet Laplacian in curved tubes of arbitrary cross-section rotating together with the Tang frame along infinite curves in Euclidean spaces of arbitrary dimension.

Keywords

quantum waveguidescurved tubesTang frame

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Geometrically induced discrete spectrum in curved tubes

  • Original language description

    We prove the existence of discrete spectrum for the Dirichlet Laplacian in curved tubes of arbitrary cross-section rotating together with the Tang frame along infinite curves in Euclidean spaces of arbitrary dimension.

  • Czech name

    Geometrií indukované diskrétní spektrum v křivých trubicích

  • Czech description

    Dokazujeme existenci diskrétního spektra pro Dirichletův Laplacián v křivých trubicích libovolného průřezu, jenž rotuje společně s Tangovým repérem podél nekonečných křivek v euklidovských prostorech libovolné dimense.

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

    Differential Geometry and Its Applications

  • ISSN

    0926-2245

  • e-ISSN

  • Volume of the periodical

    23

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    11

  • Pages from-to

    95-105

  • 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