Sharp Spectral Asymptotics for 2-dimensional Schrödinger operator with a strong magnetic field. Note about forgotten generic case
| dc.creator | Ivrii, Victor | |
| dc.date | 2006-03-04 | |
| dc.date.accessioned | 2026-07-07T07:06:33Z | |
| dc.date.available | 2026-07-07T07:06:33Z | |
| dc.description | I consider magnetic Schrödinger operator in dimension $d=2$ assuming that coefficients are smooth and magnetic field is non-degenerating. Then I extend the remainder estimate $O(μ^{-1}h^{-1}+1)$ derived in \cite{Ivr1} for the case when $V/F$ has no stationary points to the case when it has non-degenerating stationary points. If some of them are saddles and $μ^3h\ge 2$ then asymptotics contains correction terms of magnitude $μ^{-1}h^{-1}|\log μ^3 h|$. | |
| dc.description | 6 pp | |
| dc.identifier | https://arxiv.org/abs/math/0603118 | |
| dc.identifier | http://arxiv.org/abs/math/0603118 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110068 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Spectral Theory | |
| dc.subject | 35P20 | |
| dc.title | Sharp Spectral Asymptotics for 2-dimensional Schrödinger operator with a strong magnetic field. Note about forgotten generic case | |
| dc.type | text |