Quantum revivals and carpets in some exactly solvable systems

We consider the revival properties of quantum systems with an eigenspectrum En n2, 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 tR, these systems all enjoy perfect fractional revivals at quarterly intervals of tR. A closer examination of the quantum evolution is performed for the Poschel-Teller and Rosen-Morse potentials, and comparison is made with the infinite square well using quantum carpets.

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