Delocalization and Heisenberg's uncertainty relation

Details Delocalization and Heisenberg's uncertainty relation Delocalization and Heisenberg's uncertainty relation

2002-05-02

arxiv.org/abs/cond-mat/0205039v1

Eur. Phys. J. B 30, 175 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 2 figures, EPL class included

Scientific paper

10.1140/epjb/e2002-00372-9

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.

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