PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Federico Rodriguez Hertz, Stephanie Zerby, Anatole Katok, Boris Kalinin, Dmitri Burago.

Title:Time delay and Calabi invariant in classical scattering theory
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Rafael Tiedra de Aldecoa, Pontificia Universidad Católica de Chile
We define, prove the existence and obtain explicit expressions for classical time delay defined in terms of sojourn times for abstract scattering pairs (H_0,H) on a symplectic manifold. As a by-product, we establish a classical version of the Eisenbud-Wigner formula of quantum mechanics. Using recent results of V. Buslaev and A. Pushnitski on the scattering matrix in Hamiltonian mechanics, we also obtain an explicit expression for the derivative of the Calabi invariant of the Poincaré scattering map. Our results are applied to dispersive Hamiltonians and to Hamiltonians on the Poincaré ball. This is a joint work with Antoine Gournay (University of Neuchâtel).

Room Reservation Information

Room Number:MB114
Date:01 / 23 / 2013
Time:03:35pm - 04:35pm