Schrödinger operators on graphs and geometry. III. General vertex conditions and counterexamples

DOI10.1063/1.5039459zbMath1400.81112OpenAlexW2804723398WikidataQ124969467 ScholiaQ124969467MaRDI QIDQ4556622

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Publication date: 16 November 2018

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

Full work available at URL: https://doi.org/10.1063/1.5039459

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (7)

Kagome network with vertex coupling of a preferred orientation ⋮ Comparing the spectrum of Schrödinger operators on quantum graphs ⋮ Topological bulk-edge effects in quantum graph transport ⋮ \(n\)-Laplacians on metric graphs and almost periodic functions. I ⋮ Quantum graphs: self-adjoint, and yet exhibiting a nontrivial \(\mathcal{PT}\)-symmetry ⋮ Spectral asymptotics of the Laplacian on Platonic solids graphs ⋮ Asymptotically isospectral quantum graphs and generalised trigonometric polynomials

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