Magnetic interpretation of the nodal defect on graphs

DOI10.2140/apde.2013.6.1235zbMath1281.35090arXiv1201.1110OpenAlexW2102892448MaRDI QIDQ394166

Yves Colin de Verdière

Publication date: 24 January 2014

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

Full work available at URL: https://arxiv.org/abs/1201.1110

zbMATH Keywords

fieldsMorse indexCourant nodal theoremHill's operatoroperator on graphsSchrödinger operators with magnetic

Mathematics Subject Classification ID

Applications of graph theory (05C90) 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) Schrödinger operator, Schrödinger equation (35J10) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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