Effective equations for quantum dynamics
Mathematical Physics
2012-08-02 v1 math.MP
Abstract
We report on recent results concerning the derivation of effective evolution equations starting from many body quantum dynamics. In particular, we obtain rigorous derivations of nonlinear Hartree equations in the bosonic mean field limit, with precise bounds on the rate of convergence. Moreover, we present a central limit theorem for the fluctuations around the Hartree dynamics.
Cite
@article{arxiv.1208.0185,
title = {Effective equations for quantum dynamics},
author = {Benjamin Schlein},
journal= {arXiv preprint arXiv:1208.0185},
year = {2012}
}
Comments
14 pages. Contribution to Proceedings of 6th European Congress of Mathematics. Krakow, July 2012