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Asymptotic spectral analysis in colliding leaky quantum layers

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    SYSNO ASEP0473567
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleAsymptotic spectral analysis in colliding leaky quantum layers
    Author(s) Kondej, S. (PL)
    Krejčiřík, David (UJF-V) RID
    Number of authors2
    Source TitleJournal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
    Roč. 446, č. 2 (2017), s. 1328-1355
    Number of pages28 s.
    Publication formPrint - P
    Languageeng - English
    CountryUS - United States
    Keywordsquantum layers ; leaky graphs ; Delta interaction supported on hypersurfaces ; Norm-resolvent convergence ; non-self-adjoint interaction
    Subject RIVBE - Theoretical Physics
    OBOR OECDApplied mathematics
    R&D ProjectsGA14-06818S GA ČR - Czech Science Foundation (CSF)
    Institutional supportUJF-V - RVO:61389005
    UT WOS000387628300012
    EID SCOPUS84992573840
    DOI10.1016/j.jmaa.2016.09.032
    AnnotationWe consider the Schrodinger operator with a complex delta interaction supported by two parallel hypersurfaces in the Euclidean space of any dimension. We analyse spectral properties of the system in the limit when the distance between the hypersurfaces tends to zero. We establish the norm-resolvent convergence to a limiting operator and derive first-order corrections for the corresponding eigenvalues.
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 ; Renata Glasová, glasova@ujf.cas.cz, Tel.: 266 177 223
    Year of Publishing2018
Number of the records: 1