Spectral properties of Schrödinger operators on radial \(N\)-dimensional infinite trees

DOI10.1007/s11856-008-1013-2zbMath1143.35074arXivmath/0608716OpenAlexW1969696991MaRDI QIDQ940774

Gershon Wolansky, Daphne Zelig, Yehuda Pinchover

Publication date: 3 September 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608716

zbMATH Keywords

Schrödinger operatorinfinite tree

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Operator theory (47-XX)

Cites Work

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• Eigenvalue Estimates for the Weighted Laplacian on Metric Trees
• On the behavior of the Sierpinski multiband fractal antenna
• Neumann laplacians on domains and operators on associated trees
• Singular Elliptic Operators of Second Order with Purely Discrete Spectra
• Convergence of spectra of mesoscopic systems collapsing onto a graph
• Variational problems on multiply connected thin strips. I: Basic estimates and convergence of the Laplacian spectrum

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