Accurate estimates for magnetic bottles in connection with superconductivity
| dc.creator | Fournais, S. | |
| dc.creator | Helffer, B. | |
| dc.date | 2004-11-16 | |
| dc.date.accessioned | 2026-07-07T04:31:38Z | |
| dc.date.available | 2026-07-07T04:31:38Z | |
| dc.description | Motivated by the theory of superconductivity and more precisely by the problem of the onset of superconductivity in dimension two, many papers devoted to the analysis in a semi-classical regime of the lowest eigenvalue of the Schrödinger operator with magnetic field have appeared recently. Here we would like to mention the works by Bernoff-Sternberg, Lu-Pan, Del Pino-Felmer-Sternberg and Helffer-Morame and also Bauman-Phillips-Tang for the case of a disc. In the present paper we settle one important part of this question completely by proving an asymptotic expansion to all orders for low-lying eigenvalues for generic domains. The word `generic' means in this context that the curvature of the boundary of the domain has a unique non-degenerate maximum. | |
| dc.description | 51 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0411053 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0411053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57888 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.title | Accurate estimates for magnetic bottles in connection with superconductivity | |
| dc.type | text |