Delocalization and Heisenberg's uncertainty relation
Disordered Systems and Neural Networks
2007-05-23 v1 Statistical Mechanics
Abstract
In the one-dimensional Anderson model the eigenstates are localized for arbitrarily small amounts of disorder. In contrast, the Harper model with its quasiperiodic potential shows a transition from extended to localized states. The difference between the two models becomes particularly apparent in phase space where Heisenberg's uncertainty relation imposes a finite resolution. Our analysis points to the relevance of the coupling between momentum eigenstates at weak potential strength for the delocalization of a quantum particle.
Cite
@article{arxiv.cond-mat/0205039,
title = {Delocalization and Heisenberg's uncertainty relation},
author = {Gert-Ludwig Ingold and Andre Wobst and Christian Aulbach and Peter Hänggi},
journal= {arXiv preprint arXiv:cond-mat/0205039},
year = {2007}
}
Comments
7 pages, 2 figures, EPL class included