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Applied Math Seminar
Derivation of the Gross-Pitaevskii Equation for the Dynamics of
a Bose Einstein Condensate
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We consider a system of N bosons interacting through a pair potential with scattering length of order 1/N (Gross-Pitaevskii scaling). In the limit of large N, one expects that the time-evolution of the one particle marginal of the density matrix is described by the time-dependent Gross-Pitaevskii equation. I will report on some recent progress towards a proof of this conjecture. This is a joint work with L. Erdos and H.-T. Yau. |