Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
Elgart, Alexander ; Erdos, Laszlo ; Schlein, Benjamin ; Yau, Horng-Tzer
arXiv, 0311043 / Harvested from arXiv
Text on arXiv
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 non-linear Hartree equation is of order 1/N for any time t less or equal T.
Publié le : 2003-11-24
Classification:  Mathematical Physics,  35Q55, 45F15, 81Q05, 81V70 
@article{0311043,
     author = {Elgart, Alexander and Erdos, Laszlo and Schlein, Benjamin and Yau, Horng-Tzer},
     title = {Nonlinear Hartree equation as the mean field limit of weakly coupled
  fermions},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0311043}
}

Elgart, Alexander; Erdos, Laszlo; Schlein, Benjamin; Yau, Horng-Tzer. Nonlinear Hartree equation as the mean field limit of weakly coupled
  fermions. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0311043/