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Pair excitations and the mean field approximation of interacting Bosons, II

Pair excitations and the mean field approximation of interacting Bosons, II

We consider a large number of Bosons with interaction potential . In our earlier papers (Grillakis et al. in Comm. Math. Phys. (2010) and in Adv. Math. (2011), as well as Grillakis and Machedon in Comm. Math. Phys., (2013)) we considered a set of equations for the condensate ϕ and …