06-302 Pavel Exner, Jiri Lipovsky
Equivalence of resolvent and scattering resonances on quantum graphs (34K, AMS-LaTeX) Oct 25, 06
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Abstract. We discuss resonances for Schr\"odinger operators on metric graphs which consists of a finite compact part and a finite number of halflines attached to it; the vertex coupling is assumed to be of the $\delta$-type or certain modifications of it. Using exterior complex scaling on the graph we show that the resolvent and scattering resonances coincide in this case.

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