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  1. 040 理学部
  2. 0401 学術論文

Solvable discrete quantum mechanics: q-orthogonal polynomials with |q|=1 and quantum dilogarithm

http://hdl.handle.net/10091/18520
4fb6e4e4-9e0d-455e-930a-95b2d02572d3
名前 / ファイル ライセンス アクション
Solvable_Discrete_Quantum_Mechanics.pdf Solvable_Discrete_Quantum_Mechanics.pdf (389.1 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2015-07-28
タイトル
言語 en
タイトル Solvable discrete quantum mechanics: q-orthogonal polynomials with |q|=1 and quantum dilogarithm
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 35835

Odake, Satoru

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Sasaki, Ryu

× Sasaki, Ryu

WEKO 35836

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,56(7):073502 2015
書誌情報 Journal of Mathematical Physics

巻 56, 号 7, p. 73502, 発行日 2015-07
抄録
内容記述タイプ Abstract
内容記述 Several kinds of q-orthogonal polynomials with |q|=1 are constructed as the main parts of the eigenfunctions of new solvable discrete quantum mechanical systems. Their orthogonality weight functions consist of quantum dilogarithm functions, which are a natural extension of the Euler gamma functions and the q-gamma functions (q-shifted factorials). The dimensions of the orthogonal spaces are finite. These q-orthogonal polynomials are expressed in terms of the Askey-Wilson polynomials and their certain limit forms.
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/10.1063/1.4926351
関連名称
関連名称 10.1063/1.4926351
権利
権利情報 ©2015 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 56(7):073502 (2015) and may be found at https://doi.org/10.1063/1.4926351
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=000358932300035
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