Počet záznamů: 1

Non-Weyl resonance asymptotics for quantum graphs in a magnetic field

  1. 1.
    0366262 - UJF-V 2012 RIV NL eng J - Článek v odborném periodiku
    Exner, Pavel - Lipovský, J.
    Non-Weyl resonance asymptotics for quantum graphs in a magnetic field.
    Physics Letters. A. Roč. 375, č. 4 (2011), s. 805-807 ISSN 0375-9601
    Grant CEP: GA MŠk LC06002; GA ČR GAP203/11/0701
    Výzkumný záměr: CEZ:AV0Z10480505
    Klíčová slova: Quantum graphs * Magnetic field * Resonances
    Kód oboru RIV: BG - Jaderná, atomová a mol. fyzika, urychlovače
    Impakt faktor: 1.632, rok: 2011

    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.
    Trvalý link: http://hdl.handle.net/11104/0201315