Go. Morrow et Le. Reichl, PLANCK-CONSTANT DEPENDENCE OF THE SCALING OF LOCALIZATION LENGTH IN QUANTUM DYNAMICS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(5), 1998, pp. 5266-5270
We demonstrate numerically that the momentum-space localization length
(or more precisely its inverse, the momentum-space decay rate) for a
quantum system experiencing nonlinear resonance exhibits scaling behav
ior as Planck's constant is varied. The behavior of the scaling multip
lier appears to be a result of the different levels of complexity acce
ssible to systems with different (h) over bar values.