The semi-classical spectrum and the Birkhoff normal form

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dc.creatorDe Verdière, Yves Colin
dc.date2009-02-14
dc.date.accessioned2026-07-07T12:42:07Z
dc.date.available2026-07-07T12:42:07Z
dc.descriptionThe purposes of this note are: 1) to propose a direct and "elementary" proof of the main result proved by Guillemin-Paul-Uribe [GPU], namely that the semi-classical spectrum near a global minimum of the classical Hamiltonian determines the whole semi-classical Birkhoff normal form (denoted the BNF) in the non-resonant case. 2) to present in the completely resonant case a similar problem.
dc.identifierhttps://arxiv.org/abs/0902.2470
dc.identifierhttp://arxiv.org/abs/0902.2470
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219965
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject35P20, 35S30
dc.titleThe semi-classical spectrum and the Birkhoff normal form
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