Sharp Spectral Asymptotics for 2-dimensional Schrödinger operator with a strong but degenerating magnetic field. II

dc.creatorIvrii, Victor
dc.date2006-03-04
dc.date.accessioned2026-07-07T07:06:33Z
dc.date.available2026-07-07T07:06:33Z
dc.descriptionI consider the same operator as in part I assuming however that $μ\ge Ch^{-1}$ and $V$ is replaced by $(2l+1)μh F+W$ with $l\in \bZ^+$. Under some non-degeneracy conditions I recover remainder estimates up to $O \bigl(μ^{-{\frac 1 ν}}h^{-1} +1\bigr)$ but now case $μ\ge Ch^{-ν}$ is no more forbidden and the principal part is of magnitude $μh^{-1}$.
dc.description31 pp
dc.identifierhttps://arxiv.org/abs/math/0603117
dc.identifierhttp://arxiv.org/abs/math/0603117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110067
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.subject35P20
dc.titleSharp Spectral Asymptotics for 2-dimensional Schrödinger operator with a strong but degenerating magnetic field. II
dc.typetext

Files

Collections