The asymptotic behaviour of the scattering matrix in a neighbourhood of the endpoints of a spectral gap

DOI10.1070/SM8624zbMath1379.35102OpenAlexW2533527778MaRDI QIDQ5272552

Sergueï A. Nazarov

Publication date: 30 June 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8624

zbMATH Keywords

spectrumscattering matrixquantum waveguide

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05)

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Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides

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