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Orthogonal polynomials from Hermitian matrices
http://hdl.handle.net/10091/18503
http://hdl.handle.net/10091/185030f158c5d-58b2-4979-9588-ffc8f8621fcf
名前 / ファイル | ライセンス | アクション |
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Orthogonal_polynomials_from_Hermitian.pdf (488.1 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2015-07-08 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Orthogonal polynomials from Hermitian matrices | |||||
言語 | ||||||
言語 | eng | |||||
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 | ||||||
内容記述タイプ | Other | |||||
内容記述 | JOURNAL OF MATHEMATICAL PHYSICS. 49(5):053503 (2008) | |||||
書誌情報 |
JOURNAL OF MATHEMATICAL PHYSICS 巻 49, 号 5, p. 53503, 発行日 2008-05 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A unified theory of orthogonal polynomials of a discrete variable is presented through the eigenvalue problem of Hermitian matrices of finite or infinite dimensions. It can be considered as a matrix version of exactly solvable Schrödinger equations. The Hermitian matrices (factorizable Hamiltonians) are real symmetric tridiagonal (Jacobi) matrices corresponding to second order difference equations. By solving the eigenvalue problem in two different ways, the duality relation of the eigenpolynomials and their dual polynomials is explicitly established. Through the techniques of exact Heisenberg operator solution and shape invariance, various quantities, the two types of eigenvalues (the eigenvalues and the sinusoidal coordinates), the coefficients of the three term recurrence, the normalization measures and the normalisation constants, etc., are determined explicitly. | |||||
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 | 0022-2488 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00701758 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1063/1.2898695 | |||||
関連名称 | 10.1063/1.2898695 | |||||
権利 | ||||||
権利情報 | © 2008 American Institute of Physics. This article may be downloaded for personal use only. <br/>Any other use requires prior permission of the author and the American Institute of Physics. <br/>The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 49(5):053503 (2008) and may be found at https://doi.org/10.1063/1.2898695 | |||||
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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