"Bottom of the well" semi-classical trace invariants

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dc.creatorGuillemin, V.
dc.creatorPaul, T.
dc.creatorUribe, A.
dc.date2006-08-24
dc.date.accessioned2026-07-07T07:22:09Z
dc.date.available2026-07-07T07:22:09Z
dc.descriptionLet $\hat H$ be an h-admissible pseudodifferential operator whose principal symbol, $H$, has a unique non-degenerate global minimum. We give a simple proof that the semi-classical asymptotics of the eigenvalues of $\hat H$ corresponding to the "bottom of the well" determine the Birkhoff normal form of $H$ at the minimum. We treat both the resonant and the non-resonant cases.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0608617
dc.identifierhttp://arxiv.org/abs/math/0608617
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115553
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject58J50 (primary), 81Q20 (secondary)
dc.title"Bottom of the well" semi-classical trace invariants
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