Quantum revivals and carpets in some exactly solvable systems
Quantum Physics
2008-11-26 v2
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.
Cite
@article{arxiv.quant-ph/9902039,
title = {Quantum revivals and carpets in some exactly solvable systems},
author = {Will Loinaz and T. J. Newman},
journal= {arXiv preprint arXiv:quant-ph/9902039},
year = {2008}
}
Comments
5 pages, 5 figures (1 new), minor additions, to appear in J. Phys. A