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On eigenvalues of a PT-symmetric operator in a thin layer
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SYSNO ASEP 0475682 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On eigenvalues of a PT-symmetric operator in a thin layer Author(s) Borisov, D. I. (CZ)
Znojil, Miloslav (UJF-V) RID, ORCID, SAINumber of authors 2 Source Title Sbornik Mathematics - ISSN 1064-5616
Roč. 208, č. 2 (2017), s. 173-199Number of pages 27 s. Publication form Print - P Language eng - English Country GB - United Kingdom Keywords thin domain ; pT-symmetric operator ; edge of a gap ; asymptotics ; periodic operator Subject RIV BE - Theoretical Physics OECD category Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) R&D Projects GA16-22945S GA ČR - Czech Science Foundation (CSF) Institutional support UJF-V - RVO:61389005 UT WOS 000401433200001 EID SCOPUS 85018653123 DOI 10.1070/SM8657 Annotation We consider an elliptic operator with variable coefficients in a thin three-dimensional layer with PT-symmetric boundary conditions. We study the effect of the appearance of isolated eigenvalues at the edges of the gaps in the essential spectrum. We obtain sufficient conditions that guarantee that such eigenvalues either exist or are absent near a given edge of a gap. In the case of existence, the first terms in the asymptotic expansion of these emerging eigenvalues are calculated. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2018
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