Completeness of resonance states for quantum graph with two semi-infinite edges. (English) Zbl 1391.81201
Summary: Scattering problem for quantum graph with two semi-infinite leads is considered. Completeness of the system of resonance states in \(L_2\) on finite subgraph is proved. A relation with the factorization of the characteristic function in Sz-Nagy functional model is discussed.
MSC:
| 81U20 | \(S\)-matrix theory, etc. in quantum theory |
| 46N50 | Applications of functional analysis in quantum physics |
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