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The simplest examples, the one-indexed orthogonal polynomials, are the infinite families of the exceptional Laguerre and Jacobi polynomials of types I and II constructed by the present authors. The totality of the integer indices of the new polynomials are finite and they correspond to the degrees of the \u0027virtual state wavefunctions\u0027 which are \u0027deleted\u0027 by the generalisation of Crum-Adler theorem. Each polynomial has another integer n which counts the nodes. (C) 2011 Elsevier B.V. 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Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials
http://hdl.handle.net/10091/16121
http://hdl.handle.net/10091/161218e26adb0-05f9-41c3-b097-6263cf559829
名前 / ファイル | ライセンス | アクション |
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Exactly_solvable_quantum_mechanics_infinite_families.pdf (208.9 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 | Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1016/j.physletb.2011.06.075 | |||||
関連名称 | 10.1016/j.physletb.2011.06.075 | |||||
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. 702(2-3):164-170 (2011) | |||||
書誌情報 |
PHYSICS LETTERS B 巻 702, 号 2-3, p. 164-170, 発行日 2011-08-11 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Infinite families of multi-indexed orthogonal polynomials are discovered as the solutions of exactly solvable one-dimensional quantum mechanical systems. The simplest examples, the one-indexed orthogonal polynomials, are the infinite families of the exceptional Laguerre and Jacobi polynomials of types I and II constructed by the present authors. The totality of the integer indices of the new polynomials are finite and they correspond to the degrees of the 'virtual state wavefunctions' which are 'deleted' by the generalisation of Crum-Adler theorem. Each polynomial has another integer n which counts the nodes. | |||||
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 | |||||
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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