09-216 Pavel Exner, Jiri Lipovsky

Resonances from perturbations of quantum graphs with rationally related edges (704K, pdf) Dec 19, 09

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Abstract. We discuss quantum graphs consisting of a compact part and semiinfinite 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.

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