2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58007In this paper, I consider one-dimensional periodic Schr{ö}dinger operators perturbed by a slowly decaying potential. In the adiabatic limit, I give an asymptotic expansion of the eigenvalues in the gaps of the periodic operator. When one slides the perturbation along the periodic potential, these eigenvalues oscillate. I compute the exponentially small amplitude of the oscillations.soumis en décembre 2004Mathematical Physics34E05, 34E20, 34L05, 34L40text