# Propagation of wavepackets for large times

Presented by:
R Schubert [Bristol]
Date:
Tuesday 29th June 2004 - 11:00 to 11:40
Venue:
INI Seminar Room 1
Abstract:

We study the semiclassical propagation of a class of wavepackets for large times on manifolds of negative curvature. The time evolution is generated by the Laplace-Beltrami operator and the wavepackets considered are Lagrangian states. The principal result is that these wavepackets become weakly equidistributed in the joint limit $\hbar\to 0$ and $t\to\infty$ with $t<<|\ln \hbar|$. The main ingredient in the proof is hyperbolicity and mixing of the geodesic flow.

Presentation Material: