{"extern":1,"issue":"10","abstract":[{"lang":"eng","text":"We consider a system of N weakly interacting fermions with a real analytic pair interaction. We prove that for a general class of initial data there exists a fixed time T such that the difference between the one particle density matrix of this system and the solution of the nonlinear Hartree equation is of order N−1 for any time t⩽T."}],"publist_id":"4150","publisher":"Elsevier","intvolume":"        83","doi":"10.1016/j.matpur.2004.03.006","citation":{"apa":"Elgart, A., Erdös, L., Schlein, B., &#38; Yau, H. (2004). Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. <i>Journal de Mathématiques Pures et Appliquées</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.matpur.2004.03.006\">https://doi.org/10.1016/j.matpur.2004.03.006</a>","short":"A. Elgart, L. Erdös, B. Schlein, H. Yau, Journal de Mathématiques Pures et Appliquées 83 (2004) 1241–1273.","mla":"Elgart, Alexander, et al. “Nonlinear Hartree Equation as the Mean Field Limit of Weakly Coupled Fermions.” <i>Journal de Mathématiques Pures et Appliquées</i>, vol. 83, no. 10, Elsevier, 2004, pp. 1241–73, doi:<a href=\"https://doi.org/10.1016/j.matpur.2004.03.006\">10.1016/j.matpur.2004.03.006</a>.","ista":"Elgart A, Erdös L, Schlein B, Yau H. 2004. Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Journal de Mathématiques Pures et Appliquées. 83(10), 1241–1273.","ieee":"A. Elgart, L. Erdös, B. Schlein, and H. Yau, “Nonlinear Hartree equation as the mean field limit of weakly coupled fermions,” <i>Journal de Mathématiques Pures et Appliquées</i>, vol. 83, no. 10. Elsevier, pp. 1241–1273, 2004.","ama":"Elgart A, Erdös L, Schlein B, Yau H. Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. <i>Journal de Mathématiques Pures et Appliquées</i>. 2004;83(10):1241-1273. doi:<a href=\"https://doi.org/10.1016/j.matpur.2004.03.006\">10.1016/j.matpur.2004.03.006</a>","chicago":"Elgart, Alexander, László Erdös, Benjamin Schlein, and Horng Yau. “Nonlinear Hartree Equation as the Mean Field Limit of Weakly Coupled Fermions.” <i>Journal de Mathématiques Pures et Appliquées</i>. Elsevier, 2004. <a href=\"https://doi.org/10.1016/j.matpur.2004.03.006\">https://doi.org/10.1016/j.matpur.2004.03.006</a>."},"publication_status":"published","type":"journal_article","year":"2004","day":"01","status":"public","author":[{"first_name":"Alexander","full_name":"Elgart, Alexander","last_name":"Elgart"},{"first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","full_name":"László Erdös","orcid":"0000-0001-5366-9603"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"},{"first_name":"Horng","full_name":"Yau, Horng-Tzer","last_name":"Yau"}],"date_published":"2004-10-01T00:00:00Z","quality_controlled":0,"_id":"2742","title":"Nonlinear Hartree equation as the mean field limit of weakly coupled fermions","page":"1241 - 1273","month":"10","date_updated":"2021-01-12T06:59:24Z","volume":83,"publication":"Journal de Mathématiques Pures et Appliquées","date_created":"2018-12-11T11:59:22Z"}