Various manifestations of wood anomalies in locally distorted quantum waveguides

DOI10.1134/S096554251811009XzbMath1421.78020OpenAlexW2902387235MaRDI QIDQ2416763

Sergueï A. Nazarov

Publication date: 24 May 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554251811009x

zbMATH Keywords

asymptoticsresonancesquantum waveguidewood anomalynear-threshold frequenciesregular and singular perturbations of the boundary

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) Diffraction, scattering (78A45) Quantum optics (81V80) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Asymptotic analysis in optics and electromagnetic theory (78M35) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

Related Items (4)

Waveguide with double threshold resonance at a simple threshold ⋮ Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides ⋮ Waves in a plane rectangular lattice of thin elastic waveguides ⋮ Criteria for the absence and existence of bounded solutions at the threshold frequency in a junction of quantum waveguides

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