{ "id": "cond-mat/0205039", "version": "v1", "published": "2002-05-02T11:34:47.000Z", "updated": "2002-05-02T11:34:47.000Z", "title": "Delocalization and Heisenberg's uncertainty relation", "authors": [ "Gert-Ludwig Ingold", "Andre Wobst", "Christian Aulbach", "Peter Hänggi" ], "comment": "7 pages, 2 figures, EPL class included", "journal": "Eur. Phys. J. B 30, 175 (2002)", "doi": "10.1140/epjb/e2002-00372-9", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "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.", "revisions": [ { "version": "v1", "updated": "2002-05-02T11:34:47.000Z" } ], "analyses": { "subjects": [ "05.60.Gg", "71.23.An" ], "keywords": [ "delocalization", "heisenbergs uncertainty relation imposes", "weak potential strength", "one-dimensional anderson model", "small amounts" ], "tags": [ "journal article" ], "publication": { "journal": "European Physical Journal B", "year": 2002, "month": "Nov", "volume": 30, "number": 2, "pages": 175 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002EPJB...30..175I" } } }