More scaling limits for 1d random Schrödinger operators with critically decaying and vanishing potentials

Yi Han

Consider the random Schrödinger operator $H_n$ defined on $\{0,1,\cdots ,n\}\subset \mathbb{Z}$ $$ (H_nψ)_\ell=ψ_{\ell-1,n}+ψ_{\ell+1,n}+σ\frac{ω_\ell}{a_{\ell,n}}ψ_{\ell,n},\…