Structure of the spectrum of a net of quantum waveguides and bounded solutions of a model problem at the threshold

DOI10.1134/S1064562414050305zbMath1307.81041OpenAlexW2030039690MaRDI QIDQ2254128

Sergueï A. Nazarov

Publication date: 4 February 2015

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

Full work available at URL: https://doi.org/10.1134/s1064562414050305

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

Related Items (6)

Discrete spectrum of cranked quantum and elastic waveguides ⋮ Spectra of three-dimensional cruciform and lattice quantum waveguides ⋮ The discrete spectrum of cross-shaped waveguides ⋮ Rectangular lattices of cylindrical quantum waveguides. I. Spectral problems on a finite cross ⋮ Waves in a plane rectangular lattice of thin elastic waveguides ⋮ Open waveguides in a thin Dirichlet ladder. I: Asymptotic structure of the spectrum

Cites Work

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• TWO-TERM ASYMPTOTICS OF SOLUTIONS OF SPECTRAL PROBLEMS WITH SINGULAR PERTURBATIONS
• Spectra of graph neighborhoods and scattering
• Graph models for waves in thin structures

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