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arXiv · 2209.03291

Limiting absorption principle and radiation conditions for Schr\"odinger operators with long-range potentials

Martin Dam Larsen
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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.

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Martin Dam Larsen. 2022-09-07. Limiting absorption principle and radiation conditions for Schr\"odinger operators with long-range potentials. https://doi.org/10.7146/math.scand.a-143426

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