Abstract
We consider a system of N bosons interacting through a singular two-body potential scaling with N and having the form N3β−1V(Nβx), for an arbitrary parameter β∈(0,1). We provide a norm-approximation for the many-body evolution of initial data exhibiting Bose–Einstein condensation in terms of a cubic nonlinear Schrödinger equation for the condensate wave function and of a unitary Fock space evolution with a generator quadratic in creation and annihilation operators for the fluctuations.
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