{ "id": "0912.0652", "version": "v2", "published": "2009-12-03T13:29:53.000Z", "updated": "2010-06-23T14:29:59.000Z", "title": "On the continuity of spectra for families of magnetic pseudodifferential operators", "authors": [ "Nassim Athmouni", "Marius Mantoiu", "Radu Purice" ], "comment": "22 pages", "journal": "J. Math. Phys., 51, 083517, (2010)", "categories": [ "math.FA", "math-ph", "math.MP" ], "abstract": "For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter $\\epsilon$, we show that the corresponding family of spectra also varies continuously with $\\epsilon$.", "revisions": [ { "version": "v2", "updated": "2010-06-23T14:29:59.000Z" } ], "analyses": { "subjects": [ "47A10", "47L65", "81Q10", "03.65.Ta", "03.65.Ge", "03.65.Fd" ], "keywords": [ "continuity", "magnetic pseudodifferential operators", "real parameter", "magnetic fields depending" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "doi": "10.1063/1.3470118", "year": 2010, "month": "Aug", "volume": 51, "number": 8, "pages": 3517 }, "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010JMP....51h3517A" } } }