Asymptotics of the eigenvalues and eigenfunctions of a thin square Dirichlet lattice with a curved ligament

DOI10.1134/S0001434619030295zbMath1419.35144OpenAlexW2944331112WikidataQ127898035 ScholiaQ127898035MaRDI QIDQ2314125

Sergueï A. Nazarov

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619030295

zbMATH Keywords

perturbationasymptotic expansioneigenvaluesgapsessential and discrete spectralattice of thin quantum waveguides

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Antennas, waveguides in optics and electromagnetic theory (78A50) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (2)

Asymptotic and numerical analysis of slowly varying two-dimensional quantum waveguides ⋮ Transmission and trapping of waves in an acoustic waveguide with perforated cross-walls

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