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September  2010, 3(3): 457-471. doi: 10.3934/krm.2010.3.457

Strengthened convergence of marginals to the cubic nonlinear Schrödinger equation

Alessandro Michelangeli 1,

1. 

Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road CB3 0WB Cambridge, United Kingdom

Received  February 2010 Revised  March 2010 Published  July 2010

We rewrite a recent derivation of the cubic non-linear Schrödinger equation by Adami, Golse, and Teta in the more natural form of the asymptotic factorisation of marginals at any fixed time and in the trace norm. This is the standard form in which the emergence of the non-linear effective dynamics of a large system of interacting bosons is proved in the literature.
Keywords: Non-linear Strengthened equation, propagation of chaos, reduced density matrices..
Mathematics Subject Classification: Primary: 70K99, 82C10, 82C2.
Citation: Alessandro Michelangeli. Strengthened convergence of marginals to the cubic nonlinear Schrödinger equation. Kinetic & Related Models, 2010, 3 (3) : 457-471. doi: 10.3934/krm.2010.3.457
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