  What will be if, given a pure stationary state on a compact hyperbolic
surface, we start applying raising operator every $\hbar$ "adiabatic" second?
It turns that during adiabatic time comparable to 1 wavefunction will change as
a wave traveling with a finite speed (with respect to the adiabatic time),
whereas the semiclassical measure of the system will undergo a controllable
transformation. If adiabatic time goes to infinity then, by quantized
Furstenberg Theorem, the system will become quantum uniquely ergodic. Thus,
infinite ascension of a closed system leads to quantum chaos.
