Degenerated codimension 1 crossings and resolvent estimates

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dc.creatorDuyckaerts, Thomas
dc.creatorKammerer, Clotilde Fermanian
dc.creatorJecko, Thierry
dc.date2008-11-13
dc.date.accessioned2026-07-07T10:18:00Z
dc.date.available2026-07-07T10:18:00Z
dc.descriptionIn this article, we analyze the propagation of Wigner measures of a family of solutions to a system of semi-classical pseudodifferential equations presenting eigenvalues crossings on hypersurfaces. We prove the propagation along classical trajectories under a geometric condition which is satisfied for example as soon as the Hamiltonian vector fields are transverse or tangent at finite order to the crossing set. We derive resolvent estimates for semi-classical Schrödinger operator with matrix-valued potential under a geometric condition of the same type on the crossing set and we analyze examples of degenerate situations where one can prove transfers between the modes.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0811.2103
dc.identifierhttp://arxiv.org/abs/0811.2103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174051
dc.subjectMathematical Physics
dc.titleDegenerated codimension 1 crossings and resolvent estimates
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