Spectral properties of grain boundaries at small angles of rotation

DOI10.4171/JST/9zbMath1222.35133arXiv1009.4039OpenAlexW1964443113MaRDI QIDQ2275591

Rainer Hempel, Martin Kohlmann

Publication date: 9 August 2011

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4039

zbMATH Keywords

eigenvaluesSchrödinger operatorsspectral gaps

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (13)

Schrödinger operators periodic in octants ⋮ Robust edge modes in dislocated systems of subwavelength resonators ⋮ Spectra of open waveguides in periodic media ⋮ Spectral properties of periodic systems cut at an angle ⋮ A variational approach to dislocation problems for periodic Schrödinger operators ⋮ Eigenvalues of periodic difference operators on lattice octants ⋮ Periodic Dirac operator with dislocation ⋮ Defect modes for dislocated periodic media ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ Dubrovin equation for periodic Dirac operator on the half-line ⋮ Dislocation Problems for Periodic Schrödinger Operators and Mathematical Aspects of Small Angle Grain Boundaries ⋮ Bound states for nano-tubes with a dislocation ⋮ The bulk-edge correspondence for continuous dislocated systems

Cites Work

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• Existence and regularity properties of the integrated density of states of random Schrödinger operators
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