Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential
Analysis of PDEs
2014-06-26 v2
Abstract
We consider the quantum dynamics of many bosons systems in the mean field limit with a singular pair-interaction potential, including the attractive or repulsive Coulombic case in three dimensions. By using a measure transportation technique, we show that Wigner measures propagate along the nonlinear Hartree flow. Such property was previously proved only for bounded potentials in our previous works with a slightly different strategy.
Keywords
Cite
@article{arxiv.1111.5918,
title = {Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential},
author = {Zied Ammari and Francis Nier},
journal= {arXiv preprint arXiv:1111.5918},
year = {2014}
}
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49 pages