Localization for Random Perturbations of Periodic Schrödinger Operators with Regular Floquet Eigenvalues
نویسندگان
چکیده
منابع مشابه
Localization for random perturbations of periodic Schrödinger operators with regular Floquet eigenvalues
We prove a localization theorem for continuous ergodic Schrödinger operators Hω := H0+Vω, where the random potential Vω is a nonnegative Anderson-type perturbation of the periodic operator H0. We consider a lower spectral band edge of σ(H0), say E = 0, at a gap which is preserved by the perturbation Vω . Assuming that all Floquet eigenvalues of H0, which reach the spectral edge 0 as a minimum, ...
متن کاملLocalisation for random perturbations of periodic Schrödinger operators with regular Floquet eigenvalues∗
We prove a localisation theorem for continuous ergodic Schrödinger operators Hω := H0 + Vω, where the random potential Vω is a nonnegative Anderson-type random perturbation of the periodic operator H0. We consider a lower spectral band edge of σ(H0), say E = 0, at a gap which is preserved by the perturbation Vω. Assuming that all Floquet eigenvalues of H0, which reach the spectral edge 0 as a m...
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0. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335 1. Some preliminary considerations on periodic Schrödinger operators . . . . . . . . 340 1.1. The Floquet decomposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 340 1.2. Wannier basis . . . . . . . . . . . . . . . . . . ...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2002
ISSN: 1424-0637
DOI: 10.1007/s00023-002-8621-x