| アイテムタイプ |
itemtype_ver1(1) |
| 公開日 |
2025-01-22 |
| タイトル |
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タイトル |
Topological Levinson’s theorem in presence of embedded thresholds and discontinuities of the scattering matrix: A quasi-1D example |
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言語 |
en |
| 著者 |
Austen, V.
Parra, D.
Rennie, A.
Richard, Serge
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| アクセス権 |
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アクセス権 |
open access |
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アクセス権URI |
http://purl.org/coar/access_right/c_abf2 |
| 権利 |
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権利情報 |
Electronic version of an article published as [Reviews in Mathematical PhysicsVol. 37, No. 06, 2450045 (2025)] [https://doi.org/10.1142/S0129055X24500454] © [copyright World Scientific Publishing Company] [https://www.worldscientific.com/worldscinet/rmp] |
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言語 |
en |
| 内容記述 |
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内容記述タイプ |
Abstract |
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内容記述 |
A family of quasi-1D Schrödinger operators is investigated through scattering theory. The continuous spectrum of these operators exhibits changes of multiplicity, and some of these operators possess resonances at thresholds. It is shown that the corresponding wave operators belong to an explicitly constructed 𝐶∗-algebra. The quotient of this algebra by the ideal of compact operators is studied, and an index theorem is deduced from these investigations. This result corresponds to a topological version of Levinson’s theorem in the presence of embedded thresholds, resonances, and changes of multiplicity of the scattering matrices. In the last two sections of the paper, the 𝐾-theory of the main 𝐶∗-algebra and the dependence on an external parameter are carefully analyzed. In particular, a surface of resonances is exhibited, probably for the first time. The contents of these two sections are of independent interest, and the main result does not depend on them. |
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言語 |
en |
| 内容記述 |
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内容記述タイプ |
Other |
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内容記述 |
Online Ready: Published: 8 October 2024 |
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言語 |
en |
| 出版者 |
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出版者 |
World Scientific |
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言語 |
en |
| 言語 |
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言語 |
eng |
| 資源タイプ |
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資源タイプresource |
http://purl.org/coar/resource_type/c_6501 |
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タイプ |
journal article |
| 出版タイプ |
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出版タイプ |
AM |
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出版タイプResource |
http://purl.org/coar/version/c_ab4af688f83e57aa |
| 関連情報 |
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関連タイプ |
isVersionOf |
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識別子タイプ |
DOI |
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関連識別子 |
https://doi.org/10.1142/S0129055X24500454 |
| 収録物識別子 |
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収録物識別子タイプ |
PISSN |
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収録物識別子 |
0129-055X |
| 書誌情報 |
en : Reviews in Mathematical Physics
巻 37,
号 6,
p. 2450045,
発行日 2025-07
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| ファイル公開日 |
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日付 |
2025-10-08 |
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日付タイプ |
Available |
Revised_manuscript.pdf (627 KB)
