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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Nonlinear coherent states and Ehrenfest time for Schrodinger equation

## Nonlinear coherent states and Ehrenfest time for Schrodinger equationAdd to your list(s) Download to your calendar using vCal - Carles, R (Montpellier 2)
- Wednesday 15 December 2010, 14:00-15:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Partial Differential Equations in Kinetic Theories We consider the propagation of wave packets for the nonlinear Schrodinger equation, in the semi-classical limit. We establish the existence of a critical size for the initial data, in terms of the Planck constant: if the initial data are too small, the nonlinearity is negligible up to the Ehrenfest time. If the initial data have the critical size, then at leading order the wave function propagates like a coherent state whose envelope is given by a nonlinear equation, up to a time of the same order as the Ehrenfest time. We also prove a nonlinear superposition principle for these nonlinear wave packets. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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