Abstract
We review some of the issues facing semiclassical methods in classically chaotic systems, then demonstrate the long-time accuracy of semiclassical propagation of a nonstationary wave packet using the quantum baker's map of Balazs and Voros. We show why some of the standard arguments against the efficacy of semiclassical dynamics for long-time chaotic motion are incorrect.
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O'Connor, P.W., Tomsovic, S. & Heller, E.J. Accuracy of semiclassical dynamics in the presence of chaos. J Stat Phys 68, 131–152 (1992). https://doi.org/10.1007/BF01048839
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DOI: https://doi.org/10.1007/BF01048839