We consider the revival properties of quantum systems with an eigenspectrum E ? n, 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, these systems all enjoy perfect fractional revivals at quarterly intervals of t. A closer examination of the quantum evolution is performed for the Pöschel-Teller and Rosen-Morse potentials, and comparison is made with the infinite square well using quantum carpets.
Loinaz, W., & Newman, T. J. (1999). Quantum revivals and carpets in some exactly solvable systems. Journal of Physics A: Mathematical and General, 32(50), 8889-8895. https://doi.org/10.1088/0305-4470/32/50/309