Localization for Schrödinger operators with effective barriers

DOI10.1006/jfan.1996.3043zbMath0884.35135OpenAlexW2061283533MaRDI QIDQ1369775

Günter Stolz

Publication date: 2 April 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3043

zbMATH Keywords

continuous spectrumSchrödinger operatorspoint spectrumdecay estimate for eigenfunctions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

On the existence of embedded eigenvalues ⋮ Multidimensional Schrödinger operators whose spectrum features a half-line and a Cantor set ⋮ The extraordinary spectral properties of radially periodic Schrödinger operators

Cites Work

• Localization in general one-dimensional random systems. II: Continuum Schrödinger operators
• Perturbation theory of dense point spectra
• Localization for some continuous, random Hamiltonians in \(d\)-dimensions
• One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum
• Trace class perturbations and the absence of absolutely continuous spectra
• The abstract theory of scattering
• Schrödinger semigroups
• Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
• Perturbations of Self-Adjoint Transformation
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