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Asymptotic spectral analysis in colliding leaky quantum layers
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SYSNO ASEP 0473567 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Asymptotic spectral analysis in colliding leaky quantum layers Author(s) Kondej, S. (PL)
Krejčiřík, David (UJF-V) RIDNumber of authors 2 Source Title Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
Roč. 446, č. 2 (2017), s. 1328-1355Number of pages 28 s. Publication form Print - P Language eng - English Country US - United States Keywords quantum layers ; leaky graphs ; Delta interaction supported on hypersurfaces ; Norm-resolvent convergence ; non-self-adjoint interaction Subject RIV BE - Theoretical Physics OECD category Applied mathematics R&D Projects GA14-06818S GA ČR - Czech Science Foundation (CSF) Institutional support UJF-V - RVO:61389005 UT WOS 000387628300012 EID SCOPUS 84992573840 DOI 10.1016/j.jmaa.2016.09.032 Annotation We 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2018
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