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An Isaac Newton Institute Workshop

Quantum Graphs, their Spectra and Applications

Solvable model of a junction

Author: Boris Pavlov (Univ. of Auckland)

Abstract

For any junction (without any additional condition on the geometry) the corresponding solvable model is suggested based on the representation of the scattering matrix of it in terms of the intermediate Dirichlet-to-Neumann map and subsequent rational approximation of the DN-map. The model admits complete fitting in terms of the relevant scattering matrix.