Effective evolution equations from many body quantum dynamics
Mathematical Physics
2010-12-22 v1 math.MP
Abstract
In these notes we review some recent results concerning the derivation of effective equations from first principle quantum dynamics. In particular, we discuss the derivation of the semi-relativistic Hartree equation for the evolution of boson stars, and the derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensates.
Keywords
Cite
@article{arxiv.1012.4734,
title = {Effective evolution equations from many body quantum dynamics},
author = {Benjamin Schlein},
journal= {arXiv preprint arXiv:1012.4734},
year = {2010}
}
Comments
10 pages. Contribution to the proceedings of the conference "New Perspectives in Quantum Statistics and Correlations"held in Heidelberg in March, 2010