Dynamical Collapse of Boson Stars

Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate

(2010) László Erdős et al.   ANNALS OF MATHEMATICS

Mean-Field Dynamics: Singular Potentials and Rate of Convergence

(2010) Antti Knowles et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons. I.

(2009) Manoussos G. Grillakis et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics

(2009) Igor Rodnianski et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Quantum Dynamics with Mean Field Interactions: a New Approach

(2009) László Erdős et al.   JOURNAL OF STATISTICAL PHYSICS

Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential

(2009) László Erdős et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY