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On the spectrum of narrow Neumann waveguide with periodically distributed delta ' traps

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00237933" target="_blank" >RIV/68407700:21340/15:00237933 - isvavai.cz</a>

  • Alternative codes found

    RIV/61389005:_____/15:00448274

  • Result on the web

    <a href="http://iopscience.iop.org/article/10.1088/1751-8113/48/31/315301" target="_blank" >http://iopscience.iop.org/article/10.1088/1751-8113/48/31/315301</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1088/1751-8113/48/31/315301" target="_blank" >10.1088/1751-8113/48/31/315301</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the spectrum of narrow Neumann waveguide with periodically distributed delta ' traps

  • Original language description

    We analyze a family of singular Schrodinger operators describing a Neumann waveguide with a periodic array of singular traps of a delta' type. We show that in the limit when perpendicular size of the guide tends to zero and the delta' interactions are appropriately scaled, the first spectral gap is determined exclusively by geometric properties of the traps.

  • 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

    <a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>

  • 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 Physics A: Mathematical and Theoretical

  • ISSN

    1751-8113

  • e-ISSN

  • Volume of the periodical

    48

  • Issue of the periodical within the volume

    31

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    13

  • Pages from-to

    1-13

  • UT code for WoS article

    000358794400008

  • EID of the result in the Scopus database

    2-s2.0-84937885750