On the AC spectrum of one-dimensional random Schroedinger operators with matrix-valued potentials
Mathematical Physics
2015-05-14 v1 math.MP
Abstract
We consider discrete one-dimensional random Schroedinger operators with decaying matrix-valued, independent potentials. We show that if the l^2-norm of this potential has finite expectation value with respect to the product measure then almost surely the Schroedinger operator has an interval of purely absolutely continuous (ac) spectrum. We apply this result to Schroedinger operators on a strip. This work provides a new proof and generalizes a result obtained by Delyon, Simon, and Souillard.
Keywords
Cite
@article{arxiv.0912.0294,
title = {On the AC spectrum of one-dimensional random Schroedinger operators with matrix-valued potentials},
author = {Richard Froese and David Hasler and Wolfgang Spitzer},
journal= {arXiv preprint arXiv:0912.0294},
year = {2015}
}
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