Some inverse spectral results for semi-classical Schrödinger operators

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dc.creatorGuillemin, V.
dc.creatorUribe, A.
dc.date2005-09-13
dc.date.accessioned2026-07-07T05:23:10Z
dc.date.available2026-07-07T05:23:10Z
dc.descriptionWe consider a semi-classical Schrödinger operator, -h^2Δ+ V(x). Assuming that the potential admits a unique global minimum and that the eigenvalues of the Hessian are linearly independent over the rationals, we show that the low-lying eigenvalues of the operator determine the Taylor series of the potential at the minimum.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0509290
dc.identifierhttp://arxiv.org/abs/math/0509290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76328
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject81Q20
dc.titleSome inverse spectral results for semi-classical Schrödinger operators
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