{ "id": "0712.1514", "version": "v1", "published": "2007-12-10T15:45:48.000Z", "updated": "2007-12-10T15:45:48.000Z", "title": "Magnetic bottles on the Poincaré half-plane: spectral asymptotics", "authors": [ "Abderemane Morame", "Francoise Truc" ], "journal": "Journal of Mathematics of Tokyo University 48, 3 (2008) p 597-616", "categories": [ "math-ph", "math.MP" ], "abstract": "We consider a magnetic laplacian P(A) on the Poincar\\'e half-plane, when the magnetic field dA is infinite at infinity such that P(A) has pure discret spectrum. We give the asymptotic behavior of the counting function of the eigenvalues.", "revisions": [ { "version": "v1", "updated": "2007-12-10T15:45:48.000Z" } ], "analyses": { "subjects": [ "35P20" ], "keywords": [ "spectral asymptotics", "magnetic bottles", "magnetic field da", "pure discret spectrum", "poincare half-plane" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0712.1514M" } } }