{ "id": "math-ph/0303029", "version": "v1", "published": "2003-03-12T07:51:26.000Z", "updated": "2003-03-12T07:51:26.000Z", "title": "Resonances Width in Crossed Electric and Magnetic Fields", "authors": [ "Christian Ferrari", "Hynek Kovarik" ], "comment": "3 figures", "doi": "10.1088/0305-4470/37/31/003", "categories": [ "math-ph", "math.MP" ], "abstract": "We study the spectral properties of a charged particle confined to a two-dimensional plane and submitted to homogeneous magnetic and electric fields and an impurity potential. We use the method of complex translations to prove that the life-times of resonances induced by the presence of electric field are at least Gaussian long as the electric field tends to zero.", "revisions": [ { "version": "v1", "updated": "2003-03-12T07:51:26.000Z" } ], "analyses": { "keywords": [ "magnetic fields", "resonances width", "crossed electric", "electric field tends", "impurity potential" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }