Spectrum of the Laplacian on a covering graph with pendant edges. I: The one-dimensional lattice and beyond

DOI10.1016/j.laa.2013.09.017zbMath1297.47035arXiv1304.4315OpenAlexW2963887490MaRDI QIDQ2435551

Akito Suzuki

Publication date: 19 February 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4315

zbMATH Keywords

latticespectrumdiscrete Laplaciangraphenegraphane

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Discrete version of topics in analysis (39A12) Linear difference operators (47B39) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (6)

Essential spectrum of the discrete Laplacian on a perturbed periodic graph ⋮ Spectral mapping theorem of an abstract quantum walk ⋮ Spectral gaps and discrete magnetic Laplacians ⋮ Inverse scattering for Schrödinger operators on perturbed lattices ⋮ Laplacians on periodic graphs with guides ⋮ Spectral properties of Schrödinger operators on perturbed lattices

Cites Work

• Spectral structure of the Laplacian on a covering graph
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