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  1. 040 理学部
  2. 0401 学術論文

Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials

http://hdl.handle.net/10091/16121
8e26adb0-05f9-41c3-b097-6263cf559829
名前 / ファイル ライセンス アクション
Exactly_solvable_quantum_mechanics_infinite_families.pdf Exactly_solvable_quantum_mechanics_infinite_families.pdf (208.9 kB)
Item type 学術雑誌論文 / Journal Article(1)
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
キーワード
主題Scheme Other
主題 Shape invariance
キーワード
主題Scheme Other
主題 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

WEKO 36188

Odake, Satoru

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Sasaki, Ryu

× Sasaki, Ryu

WEKO 36189

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
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
DOI
関連識別子
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
関連名称 10.1016/j.physletb.2011.06.075
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
URL http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000293928600012
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