{"quality_controlled":0,"date_published":"2007-01-26T00:00:00Z","_id":"2748","volume":98,"title":"Rigorous derivation of the Gross-Pitaevskii equation","publisher":"American Physical Society","status":"public","doi":"10.1103/PhysRevLett.98.040404","date_updated":"2021-01-12T06:59:26Z","publist_id":"4144","citation":{"chicago":"Erdös, László, Benjamin Schlein, and Horng Yau. “Rigorous Derivation of the Gross-Pitaevskii Equation.” Physical Review Letters. American Physical Society, 2007. https://doi.org/10.1103/PhysRevLett.98.040404.","ista":"Erdös L, Schlein B, Yau H. 2007. Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters. 98(4).","apa":"Erdös, L., Schlein, B., & Yau, H. (2007). Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.98.040404","ieee":"L. Erdös, B. Schlein, and H. Yau, “Rigorous derivation of the Gross-Pitaevskii equation,” Physical Review Letters, vol. 98, no. 4. American Physical Society, 2007.","ama":"Erdös L, Schlein B, Yau H. Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters. 2007;98(4). doi:10.1103/PhysRevLett.98.040404","short":"L. Erdös, B. Schlein, H. Yau, Physical Review Letters 98 (2007).","mla":"Erdös, László, et al. “Rigorous Derivation of the Gross-Pitaevskii Equation.” Physical Review Letters, vol. 98, no. 4, American Physical Society, 2007, doi:10.1103/PhysRevLett.98.040404."},"author":[{"last_name":"Erdös","full_name":"László Erdös","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"},{"last_name":"Yau","full_name":"Yau, Horng-Tzer","first_name":"Horng"}],"date_created":"2018-12-11T11:59:23Z","intvolume":" 98","issue":"4","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"}],"day":"26","publication":"Physical Review Letters","extern":1,"month":"01","publication_status":"published","year":"2007","type":"journal_article"}