Počet záznamů: 1

Spectrum of Dirichlet Laplacian in a conical layer

  1. 1.
    0350849 - UJF-V 2011 RIV GB eng J - Článek v odborném periodiku
    Exner, Pavel - Tater, Miloš
    Spectrum of Dirichlet Laplacian in a conical layer.
    Journal of Physics A-Mathematical and Theoretical. Roč. 43, č. 47 (2010), 474023/1-474023/11 ISSN 1751-8113
    Grant CEP: GA MŠk LC06002
    Výzkumný záměr: CEZ:AV0Z10480505
    Klíčová slova: QUANTUM WAVE-GUIDES * BOUND-STATES * EXISTENCE
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 1.641, rok: 2010

    We study the spectral properties of Dirichlet Laplacian on the conical layer of the opening angle pi - 2 theta and thickness equal to pi. We demonstrate that below the continuum threshold, which is equal to 1, there is an infinite sequence of isolated eigenvalues and analyse properties of these geometrically induced bound states. By numerical computation we find examples of the eigenfunctions.
    Trvalý link: http://hdl.handle.net/11104/0190739