2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154652In dimension 1, we show that the Taylor expansion of a potential near a generic non degenerate critical point can be recovered from the knowledge of the semi-classical spectrum of the associated Schrödinger operator near the corresponding critical value.15 pagesMathematical PhysicsAnalysis of PDEsSpectral Theory34E20, 81Q10, 81Q20A semi-classical inverse problem I: Taylor expansionstext