For more information about this meeting, contact Federico Rodriguez Hertz, Robin Enderle, Anatole Katok, Dmitri Burago.
| Title: | Time delay and Calabi invariant in classical scattering theory |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Rafael Tiedra de Aldecoa, Pontificia Universidad Católica de Chile |
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| Abstract: |
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| 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 |
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| Date: | 01 / 23 / 2013 |
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| Time: | 03:35pm - 04:35pm |
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