Schrödinger operators on the half line: Resolvent expansions and the Fermi golden rule at thresholds

Arne Jensen, Gheorghe Nenciu

We consider Schrödinger operators $H=- \d^2/\d r^2+V$ on $L^2([0,\infty ))$ with the Dirichlet boundary condition. The potential $V$ may be local or non-local, with polynomial decay…