Ballistic Transport for Discrete Multi-Dimensional Schrödinger Operators With Decaying Potential

David Damanik, Zhiyan Zhao

We consider the discrete Schrödinger operator $H=-\hat{I}”+V$ on ${\ell }^2({\mathbb{Z}}^d)$ with a decaying potential, in arbitrary lattice dimension $d\in {\mathbb{N}}^{\ast }$, where $\hat{I}”$ is th…