The Hartree-von Neumann limit of many body dynamics
arXiv:0904.4514
Abstract
In the mean-field regime, we prove convergence (with explicit bounds) of the many-body von Neumann dynamics with bounded interactions to the Hartree-von Neumann dynamics.
arXiv comment20 pages
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- Energy conservation and blowup of solutions for focusing Gross-Pitaevskii hierarchies
- Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states
- On the generalized semi-relativistic Schrödinger-Poisson system in R^n
- Existence and nonlinear stability of stationary states for the semi-relativistic Schrödinger-Poisson system