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Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials (2209.03291v2)
Published 7 Sep 2022 in math-ph and math.MP
Abstract: We show Rellich's theorem, the limiting absorption principle, and a Sommerfeld uniqueness result for a wide class of one-body Schr\"odinger 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.