Citation:
Tomsovic, S. & Heller, E.J. Long-time semiclassical dynamics of chaos: The stadium billiard. Physical Review E 47, 282 (1993).
Abstract:
In a recent Letter [Phys. Rev. Lett. 67, 664 (1991)] we found semiclassical propagation to be remarkably accurate in the chaotic stadium billiard long after classical fine structure had developed on a scale much smaller than ħ. We give a complete account of that work and derive an approximate time scale for the validity of the semiclassical approximation as a function of ħ.