Absolutely continuous spectra of quasiperiodic Schrödinger operators

DOI10.1063/1.527690zbMath0642.34018OpenAlexW1991806727MaRDI QIDQ3784432

Luigi Chierchia

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527690

zbMATH Keywords

Bloch wavesspectral densitiesspectral theory of one-dimensional Schrödinger operatorsKAM objects

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Schrödinger operator, Schrödinger equation (35J10) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Ordinary differential operators (34L99)

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Preservation and destruction of periodic orbits by symplectic integrators ⋮ Splitting and the spectrum of a linear differential equation with quasiperiodic coefficients ⋮ Directional differentiability of the rotation number for the almost- periodic Schrödinger equation ⋮ Unnamed Item ⋮ A direct method for constructing solutions of the Hamilton-Jacobi equation ⋮ Stability for quasi-periodically perturbed Hill's equations

Cites Work

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