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Solvable discrete quantum mechanics: q-orthogonal polynomials with |q|=1 and quantum dilogarithm
http://hdl.handle.net/10091/18520
http://hdl.handle.net/10091/185204fb6e4e4-9e0d-455e-930a-95b2d02572d3
名前 / ファイル | ライセンス | アクション |
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Solvable_Discrete_Quantum_Mechanics.pdf (389.1 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||||||
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公開日 | 2015-07-28 | |||||||||
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タイトル | Solvable discrete quantum mechanics: q-orthogonal polynomials with |q|=1 and quantum dilogarithm | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
DOI | ||||||||||
関連識別子 | https://doi.org/10.1063/1.4926351 | |||||||||
関連名称 | 10.1063/1.4926351 | |||||||||
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 | 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 |
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抄録 | ||||||||||
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. | |||||||||
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内容記述 | Article | |||||||||
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収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 0022-2488 | |||||||||
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収録物識別子タイプ | NCID | |||||||||
収録物識別子 | AA00701758 | |||||||||
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 | ||||||||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000358932300035 |