Spectra of three-dimensional cruciform and lattice quantum waveguides

DOI10.1134/S1064562415040274zbMath1334.82086OpenAlexW2306802112MaRDI QIDQ892743

Sergey Matveenko, Fedor L. Bakharev, Sergueï A. Nazarov

Publication date: 12 November 2015

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

Full work available at URL: https://doi.org/10.1134/s1064562415040274

zbMATH Keywords

lattice systemsquantum wiresquantum wave guides

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum waveguides, quantum wires (82D77)

Related Items (4)

Spectrum of the Dirichlet Laplacian in a thin cubic lattice ⋮ Rectangular lattices of cylindrical quantum waveguides. I. Spectral problems on a finite cross ⋮ Eigenvalue inequalities and absence of threshold resonances for waveguide junctions ⋮ Waves in a plane rectangular lattice of thin elastic waveguides

Cites Work

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• Convergence of spectra of graph-like thin manifolds
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• Spectra of graph neighborhoods and scattering
• Discrete spectrum of cranked, branching, and periodic waveguides
• Trapped modes in angular joints of 2D waveguides
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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