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They are to supplement the recently derived two sets of infinitely many shape invariant thus exactly solvable potentials in one-dimensional quantum mechanics and the corresponding X(l) Laguerre and Jacobi polynomials [S. Odake, R. Sasaki, Phys. Lett. B 679 (2009) 414]. The new X(l) Laguerre polynomials and the potentials are obtained by a simple limiting procedure from the known X(l) Jacobi polynomials and the potentials, whereas the known X(l) Laguerre polynomials and the potentials are obtained in the same manner from the mirror image of the known X(l) Jacobi polynomials and the potentials. (C) 2010 Elsevier B.V. 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Another set of infinitely many exceptional (X(l)) Laguerre polynomials
http://hdl.handle.net/10091/16122
http://hdl.handle.net/10091/1612257501417-cb95-4097-a359-279c475758b6
名前 / ファイル | ライセンス | アクション |
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Another_set_infinitely_many_exceptionalXl_Laguerre.pdf (130.8 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 | ||||||
言語 | en | |||||
タイトル | Another set of infinitely many exceptional (X(l)) Laguerre polynomials | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Shape invariance, Orthogonal polynomials | |||||
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 | ||||||
内容記述タイプ | Other | |||||
内容記述 | PHYSICS LETTERS B. 684(2-3):173-176 (2010) | |||||
書誌情報 |
PHYSICS LETTERS B 巻 684, 号 2-3, p. 173-176, 発行日 2010-02-08 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We present a new set of infinitely many shape invariant potentials and the corresponding exceptional (X-l) Laguerre polynomials. They are to supplement the recently derived two sets of infinitely many shape invariant thus exactly solvable potentials in one-dimensional quantum mechanics and the corresponding X(l) Laguerre and Jacobi polynomials [S. Odake, R. Sasaki, Phys. Lett. B 679 (2009) 414]. The new X(l) Laguerre polynomials and the potentials are obtained by a simple limiting procedure from the known X(l) Jacobi polynomials and the potentials, whereas the known X(l) Laguerre polynomials and the potentials are obtained in the same manner from the mirror image of the known X(l) Jacobi polynomials and the potentials. | |||||
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 | 0370-2693 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00774026 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1016/j.physletb.2009.12.062 | |||||
関連名称 | 10.1016/j.physletb.2009.12.062 | |||||
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 | |||||
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