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Spectral stability of Schrodinger operators with subordinated complex potentials
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SYSNO ASEP 0490632 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Spectral stability of Schrodinger operators with subordinated complex potentials Author(s) Fanelli, L. (IT)
Krejčiřík, David (UJF-V) RID
Vega, L. (ES)Number of authors 3 Source Title Journal of Spectral Theory. - : EMS Press - ISSN 1664-039X
Roč. 8, č. 2 (2018), s. 575-604Number of pages 30 s. Publication form Print - P Language eng - English Country CH - Switzerland Keywords Non-self-adjoint Schrödinger operator ; subordinate complex potential ; absence of eigenvalues ; spectral stability ; Birman-Schwinger principle ; technique of multipliers Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects GA14-06818S GA ČR - Czech Science Foundation (CSF) Institutional support UJF-V - RVO:61389005 UT WOS 000434255700011 EID SCOPUS 85048786497 DOI 10.4171/JST/208 Annotation We prove that the spectrum of Schrodinger operators in three dimensions is purely continuous and coincides with the non-negative semiaxis for all potentials satisfying a form-subordinate smallness condition. By developing the method of multipliers, we also establish the absence of point spectrum for Schrodinger operators in all dimensions under various alternative hypotheses, still allowing complex-valued potentials with critical singularities. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2019
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