Accuracy of semiclassical dynamics in the presence of chaos

Publication information:

O’Connor, P. W. & Tomsovic, S. Accuracy of semiclassical dynamics in the presence of chaos. Journal of statistical physics 68, 131–152 (1992).

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.