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Delocalization and Heisenberg's uncertainty relation (2002)

Ingold, G.-L. ; Wobst, A. ; Aulbach, Ch. ; [et al.]

Springer

The European physical journal 30 (2002), S. 175-179

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ISSN: 1434-6036

Keywords: PACS. 05.60.Gg Quantum transport – 71.23.An Theories and models; localized states

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract: In the one-dimensional Anderson model the eigenstates are localized for arbitrarily small amounts of disorder. In contrast, the Aubry-André 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1140/epjb/e2002-00372-9

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