2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167423We 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.23 pagesSpectral TheoryMathematical PhysicsSymplectic Geometry58J50, 57R45, 34L20, 37J35Symplectic inverse spectral theory for pseudodifferential operatorstext