Towards a New Proof of Anderson Localization
High Energy Physics - Theory
2015-05-13 v1 Statistical Mechanics
Mathematical Physics
Dynamical Systems
math.MP
Abstract
The wave function of a non-relativistic particle in a periodic potential admits oscillatory solutions, the Bloch waves. In the presence of a random noise contribution to the potential the wave function is localized. We outline a new proof of this Anderson localization phenomenon in one spatial dimension, extending the classical result to the case of a periodic background potential. The proof makes use of techniques previously developed to study the effects of noise on reheating in inflationary cosmology, employing methods of random matrix theory.
Keywords
Cite
@article{arxiv.0805.4217,
title = {Towards a New Proof of Anderson Localization},
author = {Robert Brandenberger and Walter Craig},
journal= {arXiv preprint arXiv:0805.4217},
year = {2015}
}