On the mean-field and semiclassical limit from quantum $N$-body dynamics

Xuwen Chen, Shunlin Shen, Zhifei Zhang

We study the mean-field and semiclassical limit of the quantum many-body dynamics with a repulsive $\delta$-type potential $N^{3\beta }V(N^{\beta }x)$ and a Coulomb potential, which leads to a macr…