Heavy tails and one-dimensional localization

Michael Cranston, Stanislav Molchanov, Nicola Squartini

We address the fundamental questions concerning the operator \begin{eqnarray*} H^{θ_0}ψ(x)=-ψ"(x)+V(x,ω)ψ(x),\,ψ(0)\cosθ_0-ψ'(0)\sinθ_0=0. \end{eqnarray*} where the random potentia…