Weak Bloch property for discrete magnetic Schrödinger operators

DOI10.1017/S0027763000022157zbMath0985.58011OpenAlexW2034465814MaRDI QIDQ2725473

Tomoyuki Shirai, Yusuke Higuchi

Publication date: 18 May 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000022157

zbMATH Keywords

Laplace-Beltrami operatorspectra of graphdiscrete spectral resolution

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (12)

Spectral preorder and perturbations of discrete weighted graphs ⋮ A Feynman-Kac-Itô formula for magnetic Schrödinger operators on graphs ⋮ A spectral property of discrete Schrödinger operators with non-negative potentials ⋮ Spectral and scattering theory for Gauss-Bonnet operators on perturbed topological crystals ⋮ The magnetic discrete Laplacian inferred from the Gauß-Bonnet operator and application ⋮ Magnetic-sparseness and Schrödinger operators on graphs ⋮ On symmetric spectra of Hermitian adjacency matrices for non-bipartite mixed graphs ⋮ Diffusion equations from master equations—A discrete geometric approach ⋮ Magnetic Schrödinger operators on periodic discrete graphs ⋮ The magnetic Laplacian acting on discrete cusps ⋮ BEC OF FREE BOSONS ON NETWORKS ⋮ Schrödinger operators with potential waveguides on periodic graphs

Cites Work

• Gauss polynomials and the rotation algebra
• Fluxes, Laplacians, and Kasteleyn's theorem
• The spectrum of magnetic Schrödinger operators on a graph with periodic structure.
• A note on curvature and fundamental group

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