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Dynamics of Bose-Einstein condensate

Mathematical Physics & Probability

Speaker: Horng-Tzer Yau, Harvard University
Location: 1147 MSB
Start time: Wed, Jun 4 2008, 4:10PM

Consider a system of $N$ bosons interacting via a repulsive short range pair potential. Let $\psi_{N,t}$ be the solution to the Schrödinger equation of the N-particle dynamics. We prove that the one-particle density matrix of $\psi_{N,t}$ solves the time-dependent Gross-Pitaevskii equation, a cubic non-linear Schrödinger equation. We shall also review general problems related to quantum dynamics of N particle systems.