The spectra of rectangular lattices of quantum waveguides

DOI10.1070/IM8380zbMath1364.35217OpenAlexW2430625218MaRDI QIDQ2981795

Sergueï A. Nazarov

Publication date: 10 May 2017

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

Full work available at URL: https://doi.org/10.1070/im8380

zbMATH Keywords

Dirichlet problemasymptotic analysisdiscrete spectrumgapsKirchhoff transmission conditionsquantum waveguidethin rectangular lattice

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theory of linear operators (47A55) Perturbation theories for operators and differential equations in quantum theory (81Q15) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

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