Equivalence of resolvent and scattering resonances on quantum graphs
Pavel Exner, Jiří Lipovský
Abstract
We discuss resonances for Schrödinger 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 δ-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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