Symplectic inverse spectral theory for pseudodifferential operators

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dc.creatorNgoc, San Vu
dc.date2008-08-21
dc.date.accessioned2026-07-07T09:57:39Z
dc.date.available2026-07-07T09:57:39Z
dc.descriptionWe prove, under some generic assumptions, that the semiclassical spectrum modulo O(h^2) of a one dimensional pseudodifferential operator completely determines the symplectic geometry of the underlying classical system. In particular, the spectrum determines the hamiltonian dynamics of the principal symbol.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0808.2862
dc.identifierhttp://arxiv.org/abs/0808.2862
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167423
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject58J50, 57R45, 34L20, 37J35
dc.titleSymplectic inverse spectral theory for pseudodifferential operators
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