Erdős, LászlóSchlein, BenjaminYau, Horng-Tzer2017-04-172007Erdős, László, Benjamin Schlein, and Horng-Tzer Yau. 2007. “Rigorous Derivation of the Gross-Pitaevskii Equation.” Physical Review Letters 98 (4) (January 26). doi:10.1103/physrevlett.98.040404.0031-9007http://nrs.harvard.edu/urn-3:HUL.InstRepos:32192692The 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 Schrödinger 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.en-USJournal Article2017-04-1710.1103/PhysRevLett.98.040404