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Derivation of the cubic nonlinear Schroedinger equation from many-body quantum dynamics.

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Speaker: Benjamin Schlein, Harvard University
Location: 2112 MSB
Start time: Thu, Jan 12 2006, 4:10PM

We consider a system of N bosons, interacting through a repulsive short range mean field potential. In the limit of large N, we prove that the macroscopic dynamics of the system can be described in terms of the one-particle cubic nonlinear Schroedinger equation.