Simple Eigenvalues and Non-vanishing Eigenvectors of the Anderson Model

Oluyinka Lindblad, Ezra Guerrero

We consider the Anderson model on the finite grid $G=\mathbb{Z}/L_1\mathbb{Z}\times \cdots \times \mathbb{Z}/L_d\mathbb{Z}$, defined by the random Hamiltonian $H_t=\Delta +tV$, where $\Delta$ is t…