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  1. 040 理学部
  2. 0401 学術論文

Non-polynomial extensions of solvable potentials a la Abraham-Moses

http://hdl.handle.net/10091/17868
c65003f2-30da-4c38-b18d-b1b409999e48
名前 / ファイル ライセンス アクション
Non-polynomial_extensions_solvable_potentials.pdf Non-polynomial_extensions_solvable_potentials.pdf (282.1 kB)
Item type 学術雑誌論文 / Journal Article(1)
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
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

WEKO 35915

Odake, Satoru

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Sasaki, Ryu

× Sasaki, Ryu

WEKO 35916

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
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
DOI
関連識別子
識別子タイプ DOI
関連識別子 https://doi.org/10.1063/1.4826475
関連名称
関連名称 10.1063/1.4826475
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
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