{"date_published":"2007-01-26T00:00:00Z","day":"26","date_updated":"2021-01-12T06:59:26Z","year":"2007","publication":"Physical Review Letters","status":"public","type":"journal_article","doi":"10.1103/PhysRevLett.98.040404","author":[{"first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","full_name":"László Erdös","last_name":"Erdös"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"},{"first_name":"Horng","last_name":"Yau","full_name":"Yau, Horng-Tzer"}],"abstract":[{"text":"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.","lang":"eng"}],"date_created":"2018-12-11T11:59:23Z","citation":{"ista":"Erdös L, Schlein B, Yau H. 2007. Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters. 98(4).","mla":"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>.","ama":"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>","short":"L. Erdös, B. Schlein, H. Yau, Physical Review Letters 98 (2007).","apa":"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>","chicago":"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>.","ieee":"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."},"volume":98,"quality_controlled":0,"_id":"2748","month":"01","publisher":"American Physical Society","intvolume":"        98","publication_status":"published","extern":1,"publist_id":"4144","title":"Rigorous derivation of the Gross-Pitaevskii equation","issue":"4"}