Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation

Details Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation

2004-09-09

arxiv.org/abs/math-ph/0409019v1

Seminaire EDP, Ecole Polytechnique, 2003-2004

Physics

Mathematical Physics

27 pages, 2 figures

Scientific paper

We discuss the Hartree equation arising in the mean-field limit of large systems of bosons and explain its importance within the class of nonlinear Schroedinger equations. Of special interest to us is the Hartree equation with focusing nonlinearity (attractive two-body interactions). Rigorous results for the Hartree equation are presented concerning: 1) its derivation from the quantum theory of large systems of bosons, 2) existence and stability of Hartree solitons, and 3) its point-particle (Newtonian) limit. Some open problems are described.

Affiliated with

Also associated with

No associations

Rating

Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation 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 Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-229649