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線分上の運動量作用素とエネルギー作用素から得られる無限和
https://setsunan.repo.nii.ac.jp/records/2000124
https://setsunan.repo.nii.ac.jp/records/2000124aae308cf-cb6f-4ca8-872b-3fc9a01eba51
名前 / ファイル | ライセンス | アクション |
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05線分上の運動量作用素とエネルギー作用素から得られる無限和.pdf (918 KB)
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Copyright(c)2023 by Setsunan University
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
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公開日 | 2024-03-28 | |||||||||
タイトル | ||||||||||
言語 | ja | |||||||||
タイトル | 線分上の運動量作用素とエネルギー作用素から得られる無限和 | |||||||||
タイトル | ||||||||||
言語 | en | |||||||||
タイトル | Infinite sums obtained from momentum and energy operators on a line segment | |||||||||
言語 | ||||||||||
言語 | jpn | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | 自己共役拡張 | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | 境界条件 | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | トレースの公式 | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | 運動量作用素 | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | エネルギー 作用素 | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | selfadjoint extension | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | boundary condition | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | trace formula | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | momentum oparator | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | energy operator | |||||||||
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 | departmental bulletin paper | |||||||||
著者 |
小林,俊公
× 小林,俊公
× 島田,伸一
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著者(英) | ||||||||||
姓名 | KOBAYASHI,Toshimasa | |||||||||
言語 | en | |||||||||
著者(英) | ||||||||||
姓名 | SHIMADA,Shinichi | |||||||||
言語 | en | |||||||||
抄録 | ||||||||||
内容記述 | For an energy operator H, which is any one of selfadjoint extensions of -(d/dx)² on an open interval I, we compute the reciprocal sum of the eigenvalues and examine how the sum depends on the parameters which determine selfadjoint extension. Given a momentum operator P, which is any one of selfadjoint extensions of -i(d/dx) on I, we find the parameters that satisfy P² = H in all possible energy operators. | |||||||||
言語 | en | |||||||||
書誌情報 |
ja : 融合科学研究所論文集 巻 9, 号 1, p. 18-46, ページ数 29, 発行日 2024-03-01 |
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ISSN | ||||||||||
収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 2432-5031 |