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Rigorous Derivation of the Gross-Pitaevskii Equation
Published Web Location
https://arxiv.org/pdf/math-ph/0612028.pdfNo data is associated with this publication.
Abstract
The time dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schroedinger equation with a short scale repulsive interaction in the dilute limit. Our proof shows the persistence of an explicit short scale correlation structure in the condensate.