{ "id": "quant-ph/0111060", "version": "v2", "published": "2001-11-09T23:13:02.000Z", "updated": "2003-02-28T17:05:28.000Z", "title": "Localization and Causality for a free particle", "authors": [ "N. Barat", "J. C. Kimball" ], "comment": "9 pages,no figures,new section added", "journal": "Physics Letters A vol.308(2003)110-115", "doi": "10.1016/S0375-9601(02)01806-6", "categories": [ "quant-ph" ], "abstract": "Theorems (most notably by Hegerfeldt) prove that an initially localized particle whose time evolution is determined by a positive Hamiltonian will violate causality. We argue that this apparent paradox is resolved for a free particle described by either the Dirac equation or the Klein-Gordon equation because such a particle cannot be localized in the sense required by the theorems.", "revisions": [ { "version": "v2", "updated": "2003-02-28T17:05:28.000Z" } ], "analyses": { "keywords": [ "free particle", "localization", "time evolution", "violate causality", "apparent paradox" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }