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Non-Weyl resonance asymptotics for quantum graphs in a magnetic field
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SYSNO ASEP 0366262 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Non-Weyl resonance asymptotics for quantum graphs in a magnetic field Author(s) Exner, Pavel (UJF-V) RID, ORCID, SAI
Lipovský, J. (CZ)Source Title Physics Letters. A. - : Elsevier - ISSN 0375-9601
Roč. 375, č. 4 (2011), s. 805-807Number of pages 3 s. Language eng - English Country NL - Netherlands Keywords Quantum graphs ; Magnetic field ; Resonances Subject RIV BG - Nuclear, Atomic and Molecular Physics, Colliders R&D Projects LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GAP203/11/0701 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000286683600002 DOI 10.1016/j.physleta.2010.12.042 Annotation We study asymptotical behaviour of resonances for a quantum graph consisting of a finite internal part and external leads placed into a magnetic field, in particular, the question whether their number follows the Weyl law. We prove that the presence of a magnetic field cannot change a non-Weyl asymptotics into a Weyl one and vice versa. On the other hand, we present examples demonstrating that for some non-Weyl graphs the "effective size" of the graph, and therefore the resonance asymptotics, can be affected by the magnetic field. (C) 2010 Elsevier B.V. All rights reserved. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2012
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