Spectral problem for solvable model of bent nano peapod

DOI10.1080/00036811.2015.1120289zbMath1359.81111OpenAlexW2281283482MaRDI QIDQ2965795

A. S. Melikhova, Igor Yu. Popov

Publication date: 3 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1120289

zbMATH Keywords

spectrumself-adjoint operatortransfer-matrixtheory of extensions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Statistical mechanics of nanostructures and nanoparticles (82D80)

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Cites Work

• Gap opening and split band edges in waveguides coupled by a periodic system of small windows
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• The resonator with narrow slit and the model based on the operator extensions theory
• Spectral properties of a charged particle in antidot array: A limiting case of quantum billiard
• On the existence of point spectrum for branching strips quantum graph

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