Nodal count of graph eigenfunctions via magnetic perturbation

DOI10.2140/apde.2013.6.1213zbMath1281.35089arXiv1110.5373OpenAlexW2061004630MaRDI QIDQ394165

Publication date: 24 January 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5373

zbMATH Keywords

Schrödinger operator discrete Laplace operator discrete magnetic nodal count

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) General topics in linear spectral theory for PDEs (35P05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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