Projection methods for discrete Schrodinger operators

Lyonell S. Boulton

Let $H$ be the discrete Schrödinger operator $Hu(n):=u(n-1)+u(n+1)+v(n)u(n)$, $u(0)=0$ acting on $l^2({\mathbf{Z}}^{+})$ where the potential $v$ is real-valued and $v(n)\to 0$ as $n\to \i…