Mean Field Limit For Bose-einstein Condensates With Two Types Of Particles

In this paper,mean field limit problem with two types of particles in the BoseEinstein condensate is considered.It is necessary to introduce some approximate scheme to study energy minimization problem in quantum multi-body problems.There are three such models: the mean field model,the nonlinear Schr(?)dinger model and the Gross-Pitaevskii model.Among them the mean field model is the simplest.In this paper we first derive De Finetti’s theorem in the case of two types of particles,and then derive the mean field limit of the Bose-Einstein condensate with two types of particles.