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Does Levinson’s theorem count complex eigenvalues?
http://hdl.handle.net/2237/27311
http://hdl.handle.net/2237/27311b9d17658-89b7-4c58-abc5-eb353d442266
| 名前 / ファイル | ライセンス | アクション |
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1_5004574.pdf ファイル公開：2018/10/01 (387.4 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 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.× Parra, D.× 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 | ||||||
| 内容記述タイプ | Abstract | |||||
| 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 | |||||
| 出版者 | ||||||
| 出版者 | AIP Publishing | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | 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 |
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| 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 | |||||
