|Honours Seminar : On the quantum ergodicity of the geodesic flow
This dissertation presents and expands on a seminal result of A.I. Schnirelman in the theory of quantum ergodicity. The theorem is concerned with the probability densities defined by eigenfunctions of the Laplace-Beltrami operator on a compact Riemannian
manifold. An example of semiclassical correspondence, it asserts, for an ergodic geodesic flow, the existence of a sequence of these functions for which the densities are asymptotically uniform in the limit of high eigenvalues. The theories of pseudodifferential operators, distributions, symplectic geometry and ergodic systems are developed in the earlier chapters, as these are relied on heavily in the theorem's proof.
Blakers Lecture Theatre
: 6488 3378
Thu, 08 Mar 2012 16:30
Thu, 08 Mar 2012 17:30
Tania Blackwell <[email protected]>
Mon, 05 Mar 2012 13:27
- Locations of venues on the Crawley and Nedlands campuses are
available via the Campus Maps website.
- Download this event as:
Mail this event: