Minimizing the ground state energy of an electron in a randomly deformed lattice

Jeff Baker, Michael Loss, Günter Stolz

We provide a characterization of the spectral minimum for a random Schrödinger operator of the form $H=-\Delta +{\sum }_{i\in {\mathbb{Z}}^d}q(x-i-{\omega }_i)$ in $L^2({\mathbb{R}}^d)$, where the single site potent…