Kinetic limit

在时间相关的N粒子Schrödinger方程的基础上推导动力学方程，N非常大，仍然是一个突出的数学挑战。然而，近年来已经有了可喜的进展。特别是对相应的经典场论的动力学极限，即非线性Schrödinger方程的研究，获得了重要的见解。作为一个重要的简化，在相关的Duhamel展开中，算子的排序可以被忽略。在我们的项目中，我们以这一进展为基础，计划探索弱相互作用量子流体平衡时间相关函数的动力学极限。

The derivation of kinetic equations on the basis of the time-dependent N-particle Schrödinger equation, N very large, persists as an outstanding mathematical challenge. However, there have been promising advances over recent years. In particular, important insights are gained from the study of the kinetic limit for the corresponding classical field theory, namely the nonlinear Schrödinger equation. As a crucial simplification, in the associated Duhamel expansion the operator ordering can be ignored. In our project we build on this progress and plan to explore the kinetic limit for equilibrium time correlation functions of weakly interacting quantum fluids.