Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials
arXiv:2209.03291 · doi:10.7146/math.scand.a-143426
Abstract
We show Rellich's theorem, the limiting absorption principle, and a Sommerfeld uniqueness result for a wide class of one-body Schrödinger operators with long-range potentials, extending and refining previously known results. Our general method is based on elementary commutator estimates, largely following the scheme developed recently by Ito and Skibsted.
Revised and extended, significant strengthening of Theorem 1.3; published version