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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

Does Levinson’s theorem count complex eigenvalues?

http://hdl.handle.net/2237/27311
http://hdl.handle.net/2237/27311
b9d17658-89b7-4c58-abc5-eb353d442266
名前 / ファイル ライセンス アクション
1_5004574.pdf 1_5004574.pdf ファイル公開:2018/10/01 (387.4 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2018-01-30
タイトル
タイトル Does Levinson’s theorem count complex eigenvalues?
言語 en
著者 Nicoleau, F.

× Nicoleau, F.

WEKO 74835

en Nicoleau, F.

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Parra, D.

× Parra, D.

WEKO 74836

en Parra, D.

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Richard, Serge

× Richard, Serge

WEKO 74837

en Richard, Serge

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アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
権利
言語 en
権利情報 Copyright 2017 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.The following article appeared in (Journal of Mathematical Physics. v.58, 2017, p.102101) and may be found at (https://doi.org/10.1063/1.5004574).
抄録
内容記述 By considering a quantum-mechanical system with complex eigenvalues, we show that indeed Levinson’s theorem extends to the non self-adjoint setting. The perturbed system corresponds to a realization of the Schrödinger operator with inverse square potential on the half-line, while the Dirichlet Laplacian on the half-line is chosen for the reference system. The resulting relation is an equality between the number of eigenvalues of the perturbed system and the winding number of the scattering system together with additional operators living at 0-energy and at infinite energy.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 AIP Publishing
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
DOI
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1063/1.5004574
ISSN
収録物識別子タイプ PISSN
収録物識別子 0022-2488
書誌情報 Journal of Mathematical Physics

巻 58, p. 102101-102101, 発行日 2017-10
著者版フラグ
値 publisher
URI
識別子 https://doi.org/10.1063/1.5004574
識別子タイプ DOI
URI
識別子 http://hdl.handle.net/2237/27311
識別子タイプ HDL
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