Effective evolution equations from many body quantum dynamics

Details Effective evolution equations from many body quantum dynamics Effective evolution equations from many body quantum dynamics

2010-12-21

arxiv.org/abs/1012.4734v1

Physics

Mathematical Physics

10 pages. Contribution to the proceedings of the conference "New Perspectives in Quantum Statistics and Correlations"held in H

Scientific paper

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.

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