{ "id": "0911.4715", "version": "v2", "published": "2009-11-24T20:42:47.000Z", "updated": "2009-12-01T16:12:24.000Z", "title": "Spectral and scattering theory for the Aharonov-Bohm operators", "authors": [ "K. Pankrashkin", "S. Richard" ], "comment": "25 pages, Remark 1 and Reference [7] added", "categories": [ "math-ph", "math.MP" ], "abstract": "We review the spectral and the scattering theory for the Aharonov-Bohm model on R^2. New formulae for the wave operators and for the scattering operator are presented. The asymptotics at high and at low energy of the scattering operator are computed.", "revisions": [ { "version": "v2", "updated": "2009-12-01T16:12:24.000Z" } ], "analyses": { "keywords": [ "scattering theory", "aharonov-bohm operators", "scattering operator", "low energy" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0911.4715P" } } }