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Spectrum of Dirichlet Laplacian in a conical layer

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    0350849 - ÚJF 2011 RIV GB eng J - Journal Article
    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. E-ISSN 1751-8121
    R&D Projects: GA MŠMT LC06002
    Institutional research plan: CEZ:AV0Z10480505
    Keywords : QUANTUM WAVE-GUIDES * BOUND-STATES * EXISTENCE
    Subject RIV: BE - Theoretical Physics
    Impact factor: 1.641, year: 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.
    Permanent Link: http://hdl.handle.net/11104/0190739

     
     
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