On the dynamics of finite temperature trapped Bose gases (Q1688641)

The paper deals with the dynamics of the Bose-Einstein condensate which is described by two equations which are respectively a nonlinear Schrödinger equation and a quantum Boltzmann equation. The main contribution of the paper is based on the fact that one cannot merely extend classical techniques to solve these equations. The authors simplify the problem in a model referred to as toy model and they focus on it. The model is centered on the quantum Boltzmann equation of which an approximate solution is derived.