香蕉视频

Title: How Lagrangian states evolve into random waves.

础产蝉迟谤补肠迟:听In 1977, Berry conjectured that eigenfunctions of the Laplacian on manifolds of negative curvature behave, in the high-energy (or semiclassical) limit, as a random superposition of plane waves. This conjecture, central in quantum chaos, is still completely open. In this talk, we will consider a much simpler situation. On a manifold of negative curvature, we will consider a Lagrangian state associated to a generic phase. We show that, when evolved during a long time by the Schr篓odinger equation, these functions do behave, in the semiclassical limit, as a random superposition of plane waves. This talk is based on joint work with Alejandro Rivera, and on work in progress with Martin Vogel.

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