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

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

2003-11-24

arxiv.org/abs/math-ph/0311043v1

Physics

Mathematical Physics

latex file, 31 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Nonlinear Hartree equation as the mean field limit of weakly coupled fermions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear Hartree equation as the mean field limit of weakly coupled fermions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Hartree equation as the mean field limit of weakly coupled fermions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670949