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Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials
http://hdl.handle.net/10091/15959
http://hdl.handle.net/10091/15959d47161ed-4d2b-47de-a519-9dd94844379a
| 名前 / ファイル | ライセンス | アクション |
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Infinitely_many_shape-invariant_potentials_cubic_identities.pdf (159.2 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||||
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| 公開日 | 2012-09-11 | |||||||||
| タイトル | ||||||||||
| タイトル | Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| DOI | ||||||||||
| 関連識別子 | https://doi.org/10.1063/1.3371248 | |||||||||
| 関連名称 | 10.1063/1.3371248 | |||||||||
| キーワード | ||||||||||
| 主題 | ANNIHILATION-CREATION OPERATORS, DISCRETE QUANTUM-MECHANICS, ORTHOGONAL POLYNOMIALS, SUPERSYMMETRY, SYSTEMS | |||||||||
| 資源タイプ | ||||||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| タイプ | journal article | |||||||||
| 著者 |
Odake, S
× Odake, S
× Sasaki, R
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| 信州大学研究者総覧へのリンク | ||||||||||
| 氏名 | Odake, S | |||||||||
| 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 | JOURNAL OF MATHEMATICAL PHYSICS. 51(5):053513 (2010) | |||||||||
| 書誌情報 |
JOURNAL OF MATHEMATICAL PHYSICS 巻 51, 号 5, 発行日 2010-05 |
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| 抄録 | ||||||||||
| 内容記述 | We provide analytic proofs for the shape invariance of the recently discovered [Odake and Sasaki, Phys. Lett. B 679, 414 (2009)] two families of infinitely many exactly solvable one-dimensional quantum mechanical potentials. These potentials are obtained by deforming the well-known radial oscillator potential or the Darboux-Poschl-Teller potential by a degree l (l = 1,2,...) eigenpolynomial. The shape invariance conditions are attributed to new polynomial identities of degree 3l involving cubic products of the Laguerre or Jacobi polynomials. These identities are proved elementarily by combining simple identities. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3371248] | |||||||||
| 資源タイプ（コンテンツの種類） | ||||||||||
| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0022-2488 | |||||||||
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| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA00701758 | |||||||||
| 権利 | ||||||||||
| 権利情報 | Copyright © 2010 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. along with the following message: The following article appeared in J. Math. Phys. 51, 053513 (2010) and may be found at https://doi.org/10.1063/1.3371248 . | |||||||||
| 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=000278182800045 | |||||||||
