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arXiv · quant-ph/9902039

Quantum revivals and carpets in some exactly solvable systems

Will Loinaz·T. J. Newman
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Abstract

We 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.

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Will Loinaz, T. J. Newman. 1999-11-09. Quantum revivals and carpets in some exactly solvable systems. https://doi.org/10.1088/0305-4470%2F32%2F50%2F309

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