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Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials
http://hdl.handle.net/10091/16123
http://hdl.handle.net/10091/16123e2defe13-aae5-4716-84f9-ec0e17fea9dc
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||||||
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公開日 | 2012-12-05 | |||||||||
タイトル | ||||||||||
タイトル | Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
DOI | ||||||||||
関連識別子 | https://doi.org/10.1016/j.physletb.2009.10.078 | |||||||||
関連名称 | 10.1016/j.physletb.2009.10.078 | |||||||||
キーワード | ||||||||||
主題 | Shape invariance, Exceptional orthogonal polynomials, Discrete quantum mechanics | |||||||||
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 | ELSEVIER SCIENCE BV | |||||||||
引用 | ||||||||||
内容記述 | PHYSICS LETTERS B. 682(1):130-136 (2009) | |||||||||
書誌情報 |
PHYSICS LETTERS B 巻 682, 号 1, p. 130-136, 発行日 2009-11-23 |
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抄録 | ||||||||||
内容記述 | Two sets of infinitely many exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials are presented. They are derived as the eigenfunctions of shape invariant and thus exactly solvable quantum mechanical Hamiltonians. which are deformations of those for the Wilson and Askey-Wilson polynomials in terms of a degree l (l = 1, 2 ....) eigenpolynomial. These polynomials are exceptional in the sense that they start from degree l >= 1 and thus not constrained by any generalisation of Bochner's theorem. | |||||||||
資源タイプ(コンテンツの種類) | ||||||||||
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 | 0370-2693 | |||||||||
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収録物識別子タイプ | NCID | |||||||||
収録物識別子 | AA00774026 | |||||||||
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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=000272226600022 |