In this paper, we consider a compact connected manifold (X,g) of negative curvature, and family semi-classical Lagrangian states f h (x)=a(x)e iϕ(x)/h on X. For wide phases ϕ, show that , when evolved by the Schrödinger equation during long time, resembles random Gaussian field. This can be seen as an analogue Berry’s waves conjecture for states.

Abstract Controlling and simulating the sound radiating from complex structures is of importance in many engineering applications. We calculate radiated acoustic power plates with diffuse bending vibrations. characterise field by a two-point correlation function (CF) normal velocities. Given relation between field–field CFs ray-dynamical phase space densities, approach taken here offers basis f...