We consider the dynamics of N bosons initially in a Bose-Einstein condensate which are in two dimensions confined by an external trapping potential. The bosons interact with each other via a non-negative interaction potential in the Gross-Pitaevskii scaling regime. We prove that in the simultaneous limit where N goes to infinity and the size of the trap shrinks to zero, the condensation is preserved by the dynamics and the time evolution is asymptotically described by a Gross-Pitaevskii equation in one dimension. Joint work with Stefan Teufel.

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