Schrödinger operators with decaying potentials: some counterexamples

DOI10.1215/S0012-7094-00-10534-0zbMath1009.81019WikidataQ125022616 ScholiaQ125022616MaRDI QIDQ1847786

Remling, Christian

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

absolutely continuous spectrumslowly decaying potentialscontructive proof of optimality of its estimateembedded singular spectrumHausdorff dimension of the exceptional setSchrödinger operator on half-linesum rules for asymptotically Coulomb potentials

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (4)

On the singular spectrum of Schrödinger operators with decaying potential ⋮ Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case ⋮ Imbedded singular continuous spectrum for Schrödinger operators ⋮ Revisiting the Christ–Kiselev’s multi-linear operator technique and its applications to Schrödinger operators

Cites Work

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