- 06-302 Pavel Exner, Jiri Lipovsky
- Equivalence of resolvent and scattering resonances on quantum graphs
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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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