A real-analytic proof of the Simon-Wolff theorem

DOI10.1016/S0034-4877(20)30045-8zbMath1441.81094OpenAlexW3040108542MaRDI QIDQ2194300

Oleg Safronov, Alexander Ya. Gordon

Publication date: 25 August 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(20)30045-8

zbMATH Keywords

pure point spectrumrank-one perturbations

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• One-dimensional Schrödinger operators with random or deterministic potentials: New spectral types
• Perturbation theory of dense point spectra
• Rank one perturbations at infinite coupling
• Discrete and continuous boundary problems
• On a Problem of Weyl in the Theory of Singular Sturm-Liouville Equations
• Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
• On the perturbation of spectra

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