Ql. Jie et Gg. Xu, QUANTUM SIGNATURE OF CLASSICAL CHAOS IN THE TEMPORAL MEAN OF EXPECTATION VALUES OF OBSERVABLES, Chinese Physics Letters, 12(10), 1995, pp. 577-580
In an integrable quantum system, the time averages of expectation valu
es of a complete set of commuting observables (CSCO) form a regular pa
ttern when every common eigenstate of the CSCO is chosen as the initia
l state. As the system transits to chaotic, the regular pattern is des
troyed and these points cluster.