2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186031We consider the revival properties of quantum systems with an eigenspectrum E_{n} proportional to n^{2}, and compare them with the simplest member of this class - the infinite square well. In addition to having perfect revivals at integer multiples of the revival time t_{R}, these systems all enjoy perfect fractional revivals at quarterly intervals of t_{R}. A closer examination of the quantum evolution is performed for the Poeschel-Teller and Rosen-Morse potentials, and comparison is made with the infinite square well using quantum carpets.5 pages, 5 figures (1 new), minor additions, to appear in J. Phys. AQuantum PhysicsQuantum revivals and carpets in some exactly solvable systemstext