Eigenfunctions of unbounded support for embedded eigenvalues of locally perturbed periodic graph operators

DOI10.1007/s00220-014-2113-yzbMath1301.39015arXiv1307.6838OpenAlexW2083206230MaRDI QIDQ466031

Stephen P. Shipman

Publication date: 24 October 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6838

zbMATH Keywords

eigenvaluespectrumdifference operatoreigenfunctionFermi surfacequantum graph

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39)

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Cites Work

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• Scattering and embedded trapped modes for an infinite nonhomogeneous Timoshenko beam
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• On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators
• On absence of embedded eigenvalues for schrÖdinger operators with perturbed periodic potentials
• Resonant electromagnetic scattering in anisotropic layered media
• Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
• Floquet theory for partial differential equations
• The creation of spectral gaps by graph decoration

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