Nonlinear Hartree equation as the mean field limit of weakly coupled fermions

A. Elgart, L. Erdös, B. Schlein, H. Yau, Journal de Mathématiques Pures et Appliquées 83 (2004) 1241–1273.

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Abstract
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.
Publishing Year
Date Published
2004-10-01
Journal Title
Journal de Mathématiques Pures et Appliquées
Volume
83
Issue
10
Page
1241 - 1273
IST-REx-ID

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Elgart A, Erdös L, Schlein B, Yau H. Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Journal de Mathématiques Pures et Appliquées. 2004;83(10):1241-1273. doi:10.1016/j.matpur.2004.03.006
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. https://doi.org/10.1016/j.matpur.2004.03.006
Elgart, Alexander, László Erdös, Benjamin Schlein, and Horng Yau. “Nonlinear Hartree Equation as the Mean Field Limit of Weakly Coupled Fermions.” Journal de Mathématiques Pures et Appliquées 83, no. 10 (2004): 1241–73. https://doi.org/10.1016/j.matpur.2004.03.006.
A. Elgart, L. Erdös, B. Schlein, and H. Yau, “Nonlinear Hartree equation as the mean field limit of weakly coupled fermions,” Journal de Mathématiques Pures et Appliquées, vol. 83, no. 10, pp. 1241–1273, 2004.
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.
Elgart, Alexander, et al. “Nonlinear Hartree Equation as the Mean Field Limit of Weakly Coupled Fermions.” Journal de Mathématiques Pures et Appliquées, vol. 83, no. 10, Elsevier, 2004, pp. 1241–73, doi:10.1016/j.matpur.2004.03.006.

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