Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II

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dc.creatorIvrii, Victor
dc.date2006-12-10
dc.date.accessioned2026-07-07T07:34:48Z
dc.date.available2026-07-07T07:34:48Z
dc.descriptionI consider 4-dimensional Schrödinger operator with the generic non-degenerating magnetic field and for a generic potential I derive spectral asymptotics with the remainder estimate $O(μ^{-1}h^{-3})$ and the principal part $\asymp h^{-4}$ where $h\ll 1$ is Planck constant and $μ\gg 1$ is the intensity of the magnetic field. For general potentials remainder estimate $O(μ^{-1}h^{-3}+μ^2h^{-2})$ is achieved.
dc.description57pp
dc.identifierhttps://arxiv.org/abs/math/0612252
dc.identifierhttp://arxiv.org/abs/math/0612252
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119896
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.subject35P20
dc.titleSharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II
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