Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials

Martin Dam Larsen

doi:10.7146/math.scand.a-143426

Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials

Martin Dam Larsen^*

^*Corresponding author for this work

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

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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 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.

Original language	English
Journal	Mathematica Scandinavica
Volume	130
Issue number	2
Pages (from-to)	331-358
ISSN	0025-5521
DOIs	https://doi.org/10.7146/math.scand.a-143426
Publication status	Published - 2024

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© 2024 Mathematica Scandinavica. All rights reserved.

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10.7146/math.scand.a-143426

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Cite this

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AB - 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.

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