Pair Excitations and the Mean Field Approximation of Interacting Bosons, I

On the Rigorous Derivation of the 3D Cubic Nonlinear Schrödinger Equation with a Quadratic Trap

(2013) Xuwen Chen   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Collapsing estimates and the rigorous derivation of the 2d cubic nonlinear Schrödinger equation with anisotropic switchable quadratic traps

(2012) Xuwen Chen   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Second Order Corrections to Mean Field Evolution for Weakly Interacting Bosons in The Case of Three-body Interactions

(2011) Xuwen Chen   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

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

(2010) László Erdős et al.   ANNALS OF MATHEMATICS

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

On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy

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

Anisotropic diffusion in continuum relaxation of stepped crystal surfaces

(2008) John Quah et al.   Journal of Physics A-Mathematical and Theoretical

Solvable model for pair excitation in trapped Boson gas at zero temperature

(2008) D Margetis   Journal of Physics A-Mathematical and Theoretical