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arXiv · 0912.3936

Resonances from perturbations of quantum graphs with rationally related edges

Pavel Exner·Jiri Lipovsky
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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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Pavel Exner, Jiri Lipovsky. 2010-01-24. Resonances from perturbations of quantum graphs with rationally related edges. https://doi.org/10.1088/1751-8113%2F43%2F10%2F105301

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