2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171091We consider Schrödinger equations with variable coefficients and the harmonic potential. We suppose the perturbation is short-range type in the sense of [Nakamura 2004]. We characterize the wave front set of the solutions to the equation in terms of the classical scattering data and the propagator of the unperturbed harmonic oscillator. In particular, we give a "recurrence of singularities" type theorem for the propagation of the period $t=π$.15 pagesAnalysis of PDEsMathematical Physics35A10; 35A21; 35Q40; 58J47text