Derivation of the Schrödinger–Poisson equation from the quantum <math><mtext>N</mtext></math>-body problemJustification de l'équation de Schrödinger–Poisson à partir du problème quantique à N corps期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Derivation of the Schrödinger–Poisson equation from the quantum $N$ -body problemJustification de l'équation de Schrödinger–Poisson à partir du problème quantique à N corps

Authors:	Claude Bardos Laszlo Erdös François Golse Norbert Mauser Horng-Tzer Yau

Institution:	1. Université Paris 6, Laboratoire d''analyse numérique, 175, rue du Chevaleret, 75013 Paris, France;2. School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA;3. Wolfgang Pauli Institute, c/o Inst. f. das Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria;4. Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY 10012, USA

Abstract:	We derive the time-dependent Schrödinger–Poisson equation as the weak coupling limit of the N-body linear Schrödinger equation with Coulomb potential. *To cite this article: C. Bardos et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 515–520.*

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