Homogenization of a Nonlocal Stochastic Schrodinger Equation with Oscillating Potential
Lin Li, Meihua Yang, Jinqiao Duan · arXiv (Cornell University) · 2019
We consider the homogenization of a nonlocal stochastic Schrodinger equation with a rapidly oscillating periodically time-dependent potential. By applying the two-scale convergence method, we establish a homogenization principle for this nonlocal stochastic partial differential equation. We explicitly derive the macroscopic model. In particular, this homogenization principle holds when the nonlocal operator is the fractional Laplacian.