Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others
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Publication:1875713
zbMath1081.35016arXivmath-ph/0402013MaRDI QIDQ1875713
Publication date: 31 August 2004
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0402013
PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)
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The absence of eigenvalues for certain operators with partially periodic coefficients ⋮ Discrete Laplacian in a half‐space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators ⋮ Absolute continuity of the spectrum of two-dimensional Schrödinger operator with partially periodic coefficients ⋮ Spectral approach to homogenization of an elliptic operator periodic in some directions ⋮ Absence of bound states for waveguides in two-dimensional periodic structures ⋮ On the Laplacian in the halfspace with a periodic boundary condition ⋮ An overview of periodic elliptic operators ⋮ Absolutely continuous spectrum for the isotropic Maxwell operator with coefficients that are periodic in some directions and decay in others
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