Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons

Alexander Elgart, Laszlo Erdos, Benjamin Schlein +1

We consider the dynamics of $N$ boson systems interacting through a pair potential $N^{-1}{V}_a(x_i-x_j)$ where $V_a(x)=a^{-3}V(x/a)$. We denote the solution to the $N$-particl…