On the spectrum of the Schrödinger operator with periodic surface potential

DOI10.1023/A:1007656612905zbMath0963.47001OpenAlexW1517644272MaRDI QIDQ1592389

Ayham Chahrour

Publication date: 3 July 2001

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

Full work available at URL: https://doi.org/10.1023/a:1007656612905

zbMATH Keywords

spectrumperiodic potentialsurface potentialdiscrete Schrödinger operatorpurely absolutely continuoussurfce waves

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear difference operators (47B39)

Related Items (5)

Bounds on the spectral shift function and the density of states ⋮ Discrete Laplacian in a half‐space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators ⋮ Regularity of the surface density of states ⋮ Wegner estimate for sparse and other generalized alloy type potentials ⋮ Anderson localization and Lifshits tails for random surface potentials

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