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The Magnetic Laplacian in Shrinking Tubular Neighborhoods of Hypersurfaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F15%3A00454087" target="_blank" >RIV/61389005:_____/15:00454087 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21340/15:00222326

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s12220-014-9525-y" target="_blank" >http://dx.doi.org/10.1007/s12220-014-9525-y</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s12220-014-9525-y" target="_blank" >10.1007/s12220-014-9525-y</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Magnetic Laplacian in Shrinking Tubular Neighborhoods of Hypersurfaces

  • Original language description

    The Dirichlet Laplacian between two parallel hypersurfaces in Euclidean spaces of any dimension in the presence of a magnetic field is considered in the limit when the distance between the hypersurfaces tends to zero. We show that the Laplacian convergesin a norm-resolvent sense to a Schrodinger operator on the limiting hypersurface whose electromagnetic potential is expressed in terms of principal curvatures and the projection of the ambient vector potential to the hypersurface. As an application, weobtain an effective approximation of bound-state energies and eigenfunctions in thin quantum layers.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Geometric Analysis

  • ISSN

    1050-6926

  • e-ISSN

  • Volume of the periodical

    25

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    19

  • Pages from-to

    2546-2564

  • UT code for WoS article

    000365472700020

  • EID of the result in the Scopus database

    2-s2.0-84948138228