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

**Special Events**

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.