Article ID Journal Published Year Pages File Type
5500399 Reports on Mathematical Physics 2017 10 Pages PDF
Abstract

3D quantum dot with two 1D wires attached is considered. Scattering matrix is constructed in the framework of Lax-Phillips approach. The completeness of resonant states is proved using the factorization criterion for the characteristic function of Sz.-Nagy functional model.

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Physical Sciences and Engineering Mathematics Mathematical Physics
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Quantum Dot with Attached Wires: Resonant States Completeness
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