2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145378We use the iterative unitary matrix multiply method to calculate the long time behavior of the resonant quantum kicked rotator with a large denominator. The delocalization time is exponentially large. The quantum wave delocalizes through degenerate states. At last we construct a nonresonant quantum kicked rotator with delocalization.5 pages, 2 figuresChaotic Dynamicstext