Eigenfunction Localization for the 2D Periodic Schrodinger Operator

DOI10.1093/imrn/rnq137zbMath1229.35154arXiv1009.0994OpenAlexW2962963117MaRDI QIDQ3003650

Wei-Min Wang

Publication date: 30 May 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0994

zbMATH Keywords

eigenvaluesSchrödinger operatoreigenfunctionsperiodic boundary conditionsquare 2-torus

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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Energy supercritical nonlinear Schrödinger equations: quasiperiodic solutions ⋮ On the spectrum of the Schrödinger operator on 𝕋^d: a normal form approach ⋮ Local \(L^p\) norms of Schrödinger eigenfunctions on \({\mathbb{S}}^2\)

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