2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57866We prove $t^{- \frac 14}-$decay for the solutions of the 1-dim Schrodinger equation with a one-gap periodic potential as $t \to +\infty $. Generically, one has $t^{- \frac 13}$-decay and this decay is optimal. Our approach is to analyze the stationary phase in the Schrödinger evolution as an integral operator.23 pagesMathematical Physics35J10text