Semiclassical resonances for a two-level Schrödinger operator with a conical intersection

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dc.creatorFujiie, S.
dc.creatorLasser, C.
dc.creatorNedelec, L.
dc.date2005-11-30
dc.date2005-12-29
dc.date.accessioned2026-07-07T06:51:54Z
dc.date.available2026-07-07T06:51:54Z
dc.descriptionWe study the resonant set of a two-level Schrödinger operator with a linear conical intersection. This model operator can be decomposed into a direct sum of first order systems on the real half-line. For these ordinary differential systems we locally construct exact WKB solutions, which are connected to global solutions, amongst which are resonant states. The main results are a generalized Bohr-Sommerfeld quantization condition and an asymptotic description of the set of resonances as a distorted lattice.
dc.description45 pages 4 figures
dc.identifierhttps://arxiv.org/abs/math/0511724
dc.identifierhttp://arxiv.org/abs/math/0511724
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105140
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.subject33P99
dc.titleSemiclassical resonances for a two-level Schrödinger operator with a conical intersection
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