Fast localization of eigenfunctions via smoothed potentials

Jianfeng Lu, Cody Murphey, Stefan Steinerberger

We study the problem of predicting highly localized low-lying eigenfunctions $(-\Delta +V)\varphi =\lambda \varphi$ in bounded domains $\Omega \subset {\mathbb{R}}^d$ for rapidly varying potentials $V$. Filoche &…