Second-order corrections to mean-field evolution of weakly interacting Bosons, II

Abstract

We study the evolution of a N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper I, in which we derived a second-order correction to a mean-field evolution law for coherent states in the presence of small interaction potential. Here, we remove the assumption of smallness of the interaction potential and prove global existence of solutions to the equation for the second-order correction. This implies an improved Fock-space estimate for our approximation of the N-body state.

References in corpus (3)

• Rigorous Derivation of the Gross-Pitaevskii Equation
• On the uniqueness of solutions to the Gross-Pitaevskii hierarchy
• Second-order corrections to mean field evolution for weakly interacting Bosons. I

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