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Resonances from perturbations of quantum graphs with rationally related edges

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    0342751 - ÚJF 2011 RIV GB eng J - Journal Article
    Exner, Pavel - Lipovský, Jiří
    Resonances from perturbations of quantum graphs with rationally related edges.
    Journal of Physics A-Mathematical and Theoretical. Roč. 43, č. 10 (2010), 105301/1-105301/21. ISSN 1751-8113. E-ISSN 1751-8121
    R&D Projects: GA MŠMT LC06002
    Institutional research plan: CEZ:AV0Z10480505
    Keywords : quantum graphs * resonances * analyze
    Subject RIV: BE - Theoretical Physics
    Impact factor: 1.641, year: 2010

    We discuss quantum graphs consisting of a compact part and semi-infinite leads. Such a system may have embedded eigenvalues if some edge lengths in the compact part are rationally related. If such a relation is perturbed, these eigenvalues may turn into resonances; we analyze this effect both generally and in simple examples.
    Permanent Link: http://hdl.handle.net/11104/0185393

     
     
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