Operators with singular continuous spectrum. VII: Examples with borderline time decay

DOI10.1007/BF02099257zbMath0848.34069OpenAlexW2002684604MaRDI QIDQ1918082

Barry Simon

Publication date: 1 October 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099257

zbMATH Keywords

spectral measuresone-dimensional potentialspurely singular spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Nonlinear ordinary differential operators (34L30)

Related Items (14)

Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Dynamical analysis of Schrödinger operators with growing sparse potentials ⋮ Anderson-like transition for a class of random sparse models in \(d\geq 2\) dimensions ⋮ Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian ⋮ Universal lower bounds for quantum diffusion ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Rank-one perturbations of diagonal operators ⋮ Spectral analysis on infinite Sierpiński gaskets ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization ⋮ ASYMPTOTIC TIME DECAY IN QUANTUM PHYSICS: A SELECTIVE REVIEW AND SOME NEW RESULTS ⋮ Power-law subordinacy and singular spectra. I: Half-line operators ⋮ Embedded singular continuous spectrum for one-dimensional Schrödinger operators ⋮ Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian

Cites Work

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• Quantum dynamics and decompositions of singular continuous spectra
• Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization
• Singular continuous spectrum is generic
• L p Norms of the Borel Transform and the Decomposition of Measures
• Operators with singular continuous spectrum, VI. Graph Laplacians and Laplace-Beltrami operators
• Operators with singular continuous spectrum, V. Sparse potentials

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