Derivation of the time dependent Gross–Pitaevskii equation with external fields

A Simple Derivation of Mean Field Limits for Quantum Systems

(2011) Peter Pickl   LETTERS IN MATHEMATICAL PHYSICS

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

Derivation of the Time Dependent Gross-Pitaevskii Equation Without Positivity Condition on the Interaction

(2010) Peter Pickl   JOURNAL OF STATISTICAL PHYSICS

Recent Results on the Cauchy Problem for Focusing and Defocusing Gross-Pitaevskii Hierarchies

(2010) Thomas Chen et al.   Mathematical Modelling of Natural Phenomena

Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics

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

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

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

On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy

(2008) Sergiu Klainerman et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS