Effective evolution equations from many body quantum dynamics
arXiv:1012.4734
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.
10 pages. Contribution to the proceedings of the conference "New Perspectives in Quantum Statistics and Correlations"held in Heidelberg in March, 2010
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