Počet záznamů: 1  

Gap asymptotics in a weakly bent leaky quantum wire

  1. 1. 0454109 - UJF-V 2016 RIV GB eng J - Článek v odborném periodiku
    Exner, Pavel - Kondej, S.
    Gap asymptotics in a weakly bent leaky quantum wire.
    Journal of Physics A-Mathematical and Theoretical. Roč. 48, č. 49 (2015), s. 495301 ISSN 1751-8113
    Grant CEP: GA ČR(CZ) GA14-06818S
    Institucionální podpora: RVO:61389005
    Klíčová slova: singular Schroedinger operators * delta interaction * leaky quantum wires * weak perturbation * asymptotic expansion
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 1.933, rok: 2015

    The main question studied in this paper concerns the weak-coupling behavior of the geometrically induced bound states of singular Schrodinger operators with an attractive delta interaction supported by a planar, asymptotically straight curve Gamma. We demonstrate that if Gamma is only slightly bent or weakly deformed, then there is a single eigenvalue and the gap between it and the continuum threshold is in the leading order proportional to the fourth power of the bending angle, or the deformation parameter. For comparison, we analyze the behavior of a general geometrical induced eigenvalue in the situation when one of the curve asymptotes is wiggled.
    Trvalý link: http://hdl.handle.net/11104/0254805