کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4590015 | 1334927 | 2014 | 41 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Uniform Anderson localization, unimodal eigenstates and simple spectra in a class of “haarsh” deterministic potentials
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider a particular class of families of multi-dimensional lattice Schrödinger operators with deterministic (e.g., quasi-periodic) potentials generated by the “hull” given by an orthogonal series over the Haar wavelet basis on the torus of arbitrary dimension, with expansion coefficients considered as independent parameters. In the strong disorder regime, we prove Anderson localization for generic operator families and show that all localized eigenfunctions are unimodal and feature uniform exponential decay away from their respective localization centers. We also prove a variant of the Minami estimate for deterministic potentials and simplicity of the spectrum.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 267, Issue 11, 1 December 2014, Pages 4280-4320
Journal: Journal of Functional Analysis - Volume 267, Issue 11, 1 December 2014, Pages 4280-4320
نویسندگان
Victor Chulaevsky,