标题： 关于弱耦合极限下平均场极化子的动力学 显示英文标题

标题： On the dynamics of the mean-field polaron in the weak-coupling limit

摘要： 我们考虑在电子-声子相互作用消失的弱耦合极限下平均场极化子的动力学，$\varepsilon \to 0$。 这是一个奇异极限，形式上导致一个与非线性Choquard方程等价的Schrödinger-Poisson系统。 通过建立通过Choquard方程获得的近似解与原系统真实解之间的估计，我们证明当$\varepsilon > 0$取小值时，Choquard方程对极化子平均场模型的动力学做出了正确的预测。 显示英文摘要

摘要： We consider the dynamics of the mean-field polaron in the weak-coupling limit of vanishing electron-phonon interaction, $\varepsilon \to 0$. This is a singular limit formally leading to a Schr\"odinger--Poisson system that is equivalent to the nonlinear Choquard equation. By establishing estimates between the approximation obtained via the Choquard equation and true solutions of the original system we show that the Choquard equation makes correct predictions about the dynamics of the polaron mean-field model for small values of $\varepsilon > 0$.