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Non-accretive Schrodinger operators and exponential decay of their eigenfunctions
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SYSNO ASEP 0479658 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Non-accretive Schrodinger operators and exponential decay of their eigenfunctions Author(s) Krejčiřík, David (UJF-V) RID
Raymond, N. (FR)
Royer, J. (FR)
Siegl, Petr (UJF-V) RIDNumber of authors 4 Source Title Israel Journal of Mathematics. - : Magnes press - ISSN 0021-2172
Roč. 221, č. 2 (2017), s. 779-802Number of pages 24 s. Publication form Print - P Language eng - English Country IL - Israel Keywords non-self-adjoint electromagnetic Schrodinger operators ; Dirichlet realisation ; Agmon-type exponential decay Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA14-06818S GA ČR - Czech Science Foundation (CSF) Institutional support UJF-V - RVO:61389005 UT WOS 000411582300011 EID SCOPUS 85029802037 DOI 10.1007/s11856-017-1574-z Annotation We consider non-self-adjoint electromagnetic Schrodinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Under a suitable sufficient condition on the electromagnetic potential, we introduce a Dirichlet realisation as a closed densely defined operator with non-empty resolvent set and show that the eigenfunctions corresponding to discrete eigenvalues satisfy an Agmon-type exponential decay. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2018
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