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Non-polynomial extensions of solvable potentials a la Abraham-Moses
http://hdl.handle.net/10091/17868
http://hdl.handle.net/10091/17868c65003f2-30da-4c38-b18d-b1b409999e48
名前 / ファイル | ライセンス | アクション |
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Non-polynomial_extensions_solvable_potentials.pdf (282.1 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2014-09-05 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Non-polynomial extensions of solvable potentials a la Abraham-Moses | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1063/1.4826475 | |||||
関連名称 | 10.1063/1.4826475 | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Odake, Satoru
× Odake, Satoru× Sasaki, Ryu |
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信州大学研究者総覧へのリンク | ||||||
氏名 | Odake, Satoru | |||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.uhLeuUkV.html | |||||
出版者 | ||||||
出版者 | AMER INST PHYSICS | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | JOURNAL OF MATHEMATICAL PHYSICS. 54(10):102106 (2013) | |||||
書誌情報 |
JOURNAL OF MATHEMATICAL PHYSICS 巻 54, 号 10, p. 102106, 発行日 2013-10 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Abraham-Moses transformations, besides Darboux transformations, are well-known procedures to generate extensions of solvable potentials in one-dimensional quantum mechanics. Here we present the explicit forms of infinitely many seed solutions for adding eigenstates at arbitrary real energy through the Abraham-Moses transformations for typical solvable potentials, e.g., the radial oscillator, the Darboux-Poschl-Teller, and some others. These seed solutions are simple generalisations of the virtual state wavefunctions, which are obtained from the eigenfunctions by discrete symmetries of the potentials. The virtual state wavefunctions have been an essential ingredient for constructing multi-indexed Laguerre and Jacobi polynomials through multiple Darboux-Crum transformations. In contrast to the Darboux transformations, the virtual state wavefunctions generate non-polynomial extensions of solvable potentials through the Abraham-Moses transformations. | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-2488 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00701758 | |||||
権利 | ||||||
権利情報 | Copyright© 2013 AIP Publishing LLC. | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
WoS | ||||||
表示名 | Web of Science | |||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000326638100012 |