Nonlinear Hartree Equation as the Mean Field Limit of Weakly Coupled Fermions
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CitationElgart, Alexander, László Erdős, Benjamin Schlein, and Horng-Tzer Yau. 2004. Nonlinear Hartree Equation as the Mean Field Limit of Weakly Coupled Fermions. Journal de Mathématiques Pures et Appliquées 83, no. 10: 1241–1273.
AbstractWe 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.
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