Rigorous derivation of the Gross-Pitaevskii equation László Erdös ; https://orcid.org/0000-0001-5366-9603 Schlein, Benjamin Yau, Horng-Tzer 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 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. American Physical Society 2007 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/2748 Erdös L, Schlein B, Yau H. Rigorous derivation of the Gross-Pitaevskii equation. <i>Physical Review Letters</i>. 2007;98(4). doi:<a href="https://doi.org/10.1103/PhysRevLett.98.040404">10.1103/PhysRevLett.98.040404</a> info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.98.040404 info:eu-repo/semantics/closedAccess