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Multi-indexed Meixner and little q-Jacobi (Laguerre) polynomials
http://hdl.handle.net/10091/00020584
http://hdl.handle.net/10091/000205849c2fa308-4e9a-4617-b969-da59c4f50844
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 | 2018-05-08 | |||||||||
タイトル | ||||||||||
タイトル | Multi-indexed Meixner and little q-Jacobi (Laguerre) polynomials | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
DOI | ||||||||||
関連識別子 | https://doi.org/10.1088/1751-8121/aa6496 | |||||||||
関連名称 | 10.1088/1751-8121/aa6496 | |||||||||
キーワード | ||||||||||
主題 | exactly solvable QM, discrete QM with real shifts, exceptional orthogonal polynomials, multi-indexed orthogonal polynomials, Meixner, little q-Jacobi(Laguerre) polynomials, Jacobi, Laguere 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 | IOP PUBLISHING LTD | |||||||||
引用 | ||||||||||
内容記述 | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 50(16):165204 (2017) | |||||||||
書誌情報 |
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 巻 50, 号 16, p. 165204, 発行日 2017-04-21 |
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抄録 | ||||||||||
内容記述 | As the fourth stage of the project multi-indexed orthogonal polynomials, we present the multi-indexed Meixner and little q-Jacobi (Laguerre) polynomials in the framework of 'discrete quantum mechanics' with real shifts defined on the semi-infinite lattice in one dimension. They are obtained, in a similar way to the multi-indexed Laguerre and Jacobi polynomials reported earlier, from the quantum mechanical systems corresponding to the original orthogonal polynomials by multiple application of the discrete analogue of the Darboux transformations or the Crum-Krein-Adler deletion of virtual state vectors. The virtual state vectors are the solutions of the matrix Schrodinger equation on all the lattice points having negative energies and infinite norm. This is in good contrast to the (q-)Racah systems defined on a finite lattice, in which the 'virtual state' vectors satisfy the matrix Schrodinger equation except for one of the two boundary points. | |||||||||
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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 | 1751-8113 | |||||||||
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収録物識別子タイプ | NCID | |||||||||
収録物識別子 | AA12185372 | |||||||||
権利 | ||||||||||
権利情報 | © 2017 IOP Publishing Ltd | |||||||||
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=000425226400001 |