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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 | |||||||||
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タイトル | Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
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 | |||||||||
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主題 | Shape invariance, Orthogonal polynomials | |||||||||
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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. 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 | 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. | |||||||||
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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 | 0370-2693 | |||||||||
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収録物識別子タイプ | NCID | |||||||||
収録物識別子 | AA00774026 | |||||||||
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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=000293928600012 |