{ "id": "1204.6648", "version": "v1", "published": "2012-04-30T14:21:22.000Z", "updated": "2012-04-30T14:21:22.000Z", "title": "Spectral properties of dynamical localization for Schrödinger operators", "authors": [ "François Germinet", "Amal Taarabt" ], "categories": [ "math-ph", "math.MP", "math.SP" ], "abstract": "We investigate the equivalence between dynamical localization and localization properties of eigenfunctions of Schr\\\"odinger Hamiltonians. We introduce three classes of equivalent properties and study the relationships between them. These relationships are shown to be optimal thanks to counter examples.", "revisions": [ { "version": "v1", "updated": "2012-04-30T14:21:22.000Z" } ], "analyses": { "keywords": [ "dynamical localization", "spectral properties", "schrödinger operators", "localization properties", "equivalent properties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1204.6648G" } } }