# Mathematics Colloquia and Seminars

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### Dynamics of Bose-Einstein Condensates

**Mathematical Physics & Probability**

Speaker: | Benjamin Schlein, UC Davis |

Location: | 1147 MSB |

Start time: | Tue, Oct 24 2006, 2:10PM |

Bose-Einstein condensates have recently been observed for the first time in experiments: these are states of many body quantum systems, where all the particles are described by the same one-particle wave function, the so called condensate wave function. In this talk I am going to show, starting from microscopic many body quantum dynamics, that the time evolution of the condensate wave function can be described by a cubic nonlinear Schroedinger equation known as the Gross-Pitaevskii equation.