Sharp decay thresholds for eigenvalues of discrete Schrödinger operators on ${\mathbb{Z}}^2$

Shirshendu Ganguly, Wencai Liu

We study eigenvalues of discrete Schrödinger operators $H=\Delta +V$ on ${\mathbb{Z}}^2$, where $\Delta$ is the uncentered Laplacian, i.e., the un-normalized adjacency operator of $\mathbb{Z}^2…