Benjamin Schlein
Published 2005-04-27Version 1
We report on some recent results regarding the dynamical behavior of a trapped Bose-Einstein condensate, in the limit of a large number of particles. These results were obtained in \cite{ESY}, a joint work with L. Erd\H os and H.-T. Yau.
Comments: 15 pages; for the proceedings of the QMath9 International Conference, Giens, France, Sept. 2004
Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in $d=3$ based on spacetime norms
Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate
Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy
