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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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Infinitely_many_shape_invariant_discrete_quantum_mechanical.pdf (191.5 kB)
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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） | ||||||||||
| ISSN | ||||||||||
| 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 | |||||||||
| 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=000272226600022 | |||||||||
