article published László Erdös author 4DBD5372-F248-11E8-B48F-1D18A9856A870000-0001-5366-9603 Benjamin Schlein author Horng Yau author 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 Society2007 10.1103/PhysRevLett.98.040404 984 yes Erdös, László, et al. “Rigorous Derivation of the Gross-Pitaevskii Equation.” <i>Physical Review Letters</i>, vol. 98, no. 4, American Physical Society, 2007, doi:<a href="https://doi.org/10.1103/PhysRevLett.98.040404">10.1103/PhysRevLett.98.040404</a>. Erdös, László, Benjamin Schlein, and Horng Yau. “Rigorous Derivation of the Gross-Pitaevskii Equation.” <i>Physical Review Letters</i>. American Physical Society, 2007. <a href="https://doi.org/10.1103/PhysRevLett.98.040404">https://doi.org/10.1103/PhysRevLett.98.040404</a>. L. Erdös, B. Schlein, H. Yau, Physical Review Letters 98 (2007). Erdös L, Schlein B, Yau H. 2007. Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters. 98(4). L. Erdös, B. Schlein, and H. Yau, “Rigorous derivation of the Gross-Pitaevskii equation,” <i>Physical Review Letters</i>, vol. 98, no. 4. American Physical Society, 2007. Erdös, L., Schlein, B., &#38; Yau, H. (2007). Rigorous derivation of the Gross-Pitaevskii equation. <i>Physical Review Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.98.040404">https://doi.org/10.1103/PhysRevLett.98.040404</a> 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> 27482018-12-11T11:59:23Z2021-01-12T06:59:26Z