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

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Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials. / Larsen, Martin Dam.

In: Mathematica Scandinavica, Vol. 130, No. 2, 2024, p. 331-358.

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

Harvard

Larsen, MD 2024, 'Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials', Mathematica Scandinavica, vol. 130, no. 2, pp. 331-358. https://doi.org/10.7146/math.scand.a-143426

APA

Larsen, M. D. (2024). Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials. Mathematica Scandinavica, 130(2), 331-358. https://doi.org/10.7146/math.scand.a-143426

Vancouver

Larsen MD. Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials. Mathematica Scandinavica. 2024;130(2):331-358. https://doi.org/10.7146/math.scand.a-143426

Author

Larsen, Martin Dam. / Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials. In: Mathematica Scandinavica. 2024 ; Vol. 130, No. 2. pp. 331-358.

Bibtex

@article{929bf5ff8b7e4e858c4c0ea30020c709,
title = "Limiting absorption principle and radiation conditions for Schr{\"o}dinger operators with long-range potentials",
abstract = "We show Rellich's theorem, the limiting absorption principle, and a Sommerfeld uniqueness result for a wide class of one-body Schr{\"o}dinger 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.",
author = "Larsen, {Martin Dam}",
note = "Publisher Copyright: {\textcopyright} 2024 Mathematica Scandinavica. All rights reserved.",
year = "2024",
doi = "10.7146/math.scand.a-143426",
language = "English",
volume = "130",
pages = "331--358",
journal = "Mathematica Scandinavica",
issn = "0025-5521",
publisher = "Aarhus Universitet * Mathematica Scandinavica",
number = "2",

}

RIS

TY - JOUR

T1 - Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials

AU - Larsen, Martin Dam

N1 - Publisher Copyright: © 2024 Mathematica Scandinavica. All rights reserved.

PY - 2024

Y1 - 2024

N2 - 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.

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.

U2 - 10.7146/math.scand.a-143426

DO - 10.7146/math.scand.a-143426

M3 - Journal article

AN - SCOPUS:85195647442

VL - 130

SP - 331

EP - 358

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

SN - 0025-5521

IS - 2

ER -

ID: 395146300