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On the spectrum of leaky surfaces with a potential bias
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SYSNO ASEP 0492833 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title On the spectrum of leaky surfaces with a potential bias Author(s) Exner, Pavel (UJF-V) RID, ORCID, SAI Number of authors 1 Source Title EMS Series of Congress Reports, Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis, The Helge Holden Anniversary Volume. - Zurich : European Mathematical Society, 2018 - ISBN 978-3-03719-186-6 Pages s. 169-181 Number of pages 12 s. Publication form Print - P Action Conference on Non-linear PDEs, Mathematical Physics and Stochastic Analysis Event date 04.07.2016 - 07.07.2016 VEvent location Trondheim Country NO - Norway Event type WRD Language eng - English Country CH - Switzerland Keywords strong Delta-interaction ; bound states ; asymptotics 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 GA17-01706S GA ČR - Czech Science Foundation (CSF) Institutional support UJF-V - RVO:61389005 UT WOS 000442187600009 DOI 10.4171/186 Annotation We discuss operators of the type H = -Delta + V(x) - alpha delta(x - Sigma) with an attractive interaction, alpha > 0, in L-2(R-3), where Sigma is an infinite surface, asymptotically planar and smooth outside a compact, dividing the space into two regions, of which one is supposed to be convex, and V is a potential bias being a positive constant V-0 in one of the regions and zero in the other. We find the essential spectrum and ask about the existence of the discrete one with a particular attention to the critical case, V-0 = alpha(2). We show that sigma(disc)(H) is then empty if the bias is supported in the 'exterior' region, while in the opposite case isolated eigenvalues may exist. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2019
Number of the records: 1