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

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dc.creatorElgart, Alexander
dc.creatorErdos, Laszlo
dc.creatorSchlein, Benjamin
dc.creatorYau, Horng-Tzer
dc.date2003-11-24
dc.date.accessioned2026-07-07T04:30:45Z
dc.date.available2026-07-07T04:30:45Z
dc.descriptionWe 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.
dc.descriptionlatex file, 31 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0311043
dc.identifierhttp://arxiv.org/abs/math-ph/0311043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57572
dc.subjectMathematical Physics
dc.subject35Q55, 45F15, 81Q05, 81V70
dc.titleNonlinear Hartree equation as the mean field limit of weakly coupled fermions
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