Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells
| dc.creator | Helffer, Bernard | |
| dc.creator | Kordyukov, Yuri A. | |
| dc.date | 2006-01-15 | |
| dc.date | 2006-09-13 | |
| dc.date.accessioned | 2026-07-07T06:58:56Z | |
| dc.date.available | 2026-07-07T06:58:56Z | |
| dc.description | We show that, under some very weak assumption of effective variation for the magnetic field, a periodic Schrödinger operator with magnetic wells on a noncompact Riemannian manifold $M$ such that $H^1(M, \R)=0$ equipped with a properly disconnected, cocompact action of a finitely generated, discrete group of isometries has an arbitrarily large number of spectral gaps in the semi-classical limit. | |
| dc.description | LaTeX 2e, 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601366 | |
| dc.identifier | http://arxiv.org/abs/math/0601366 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107561 | |
| dc.subject | Spectral Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells | |
| dc.type | text |