{"title":"Nonlinear Hartree equation as the mean field limit of weakly coupled fermions","publist_id":"4150","issue":"10","publisher":"Elsevier","month":"10","page":"1241 - 1273","intvolume":"        83","extern":1,"publication_status":"published","doi":"10.1016/j.matpur.2004.03.006","type":"journal_article","citation":{"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.","short":"A. Elgart, L. Erdös, B. Schlein, H. Yau, Journal de Mathématiques Pures et Appliquées 83 (2004) 1241–1273.","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>","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>","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>.","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."},"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."}],"author":[{"first_name":"Alexander","full_name":"Elgart, Alexander","last_name":"Elgart"},{"full_name":"László Erdös","last_name":"Erdös","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"first_name":"Horng","full_name":"Yau, Horng-Tzer","last_name":"Yau"}],"date_created":"2018-12-11T11:59:22Z","volume":83,"_id":"2742","quality_controlled":0,"day":"01","date_published":"2004-10-01T00:00:00Z","date_updated":"2021-01-12T06:59:24Z","status":"public","year":"2004","publication":"Journal de Mathématiques Pures et Appliquées"}