Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
نویسندگان
چکیده
منابع مشابه
Eigenfunctions , transfer matrices , and absolutely continuous spectrum of one - dimensional SchroÈ dinger operators
hu n u n 1 u nÿ 1 V nu n 1:1D on `2 Z (and the half-line problem, h, on `2 fn 2 Zjn > 0g `2 Z) with u 0 0 boundary conditions. We will also discuss the continuum analog Hu x ÿu00 x V xu x 1:1C on L2 R (and its half-line problem, H, on L2 0;1 with u 0 0 boundary conditions). We will focus on a new approach to the absolutely continuous spectrum rac h a...
متن کاملEigenfunctions, Transfer Matrices, and Absolutely Continuous Spectrum of One-dimensional Schrödinger Operators
on L(R ) (and its half-line problem, H+, on L2(0,∞) with u(0) = 0 boundary conditions). We will focus on a new approach to the absolutely continuous spectrum σac(h) and, more generally, Σac(h), the essential support of the a.c. part of the spectral measures. What is new in our approach is that it relies on estimates on the transfer matrix, that is, the 2× 2 matrix TE(n,m) which takes (u(m+1) u(...
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 1999
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s002220050288