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Unified theory of exactly and quasiexactly solvable "discrete" quantum mechanics. I. Formalism
http://hdl.handle.net/10091/15960
http://hdl.handle.net/10091/159604cb4d224-882a-4743-a76c-9e6881609ab2
名前 / ファイル | ライセンス | アクション |
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Unified_theory_exactly_quasiexactly_solvable.pdf (351.1 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 | ||||||
言語 | en | |||||
タイトル | Unified theory of exactly and quasiexactly solvable "discrete" quantum mechanics. I. Formalism | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1063/1.3458866 | |||||
関連名称 | 10.1063/1.3458866 | |||||
キーワード | ||||||
主題 | ANNIHILATION-CREATION OPERATORS, ORTHOGONAL POLYNOMIALS, PREPOTENTIAL APPROACH, SUPERSYMMETRY, POTENTIALS, DERIVATION, SYMMETRY, EQUATION | |||||
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. 51(8):083502 (2010) | |||||
書誌情報 |
JOURNAL OF MATHEMATICAL PHYSICS 巻 51, 号 8, 発行日 2010-08 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We present a simple recipe to construct exactly and quasiexactly solvable Hamiltonians in one-dimensional "discrete" quantum mechanics, in which the Schrodinger equation is a difference equation. It reproduces all the known ones whose eigenfunctions consist of the Askey scheme of hypergeometric orthogonal polynomials of a continuous or a discrete variable. The recipe also predicts several new ones. An essential role is played by the sinusoidal coordinate, which generates the closure relation and the Askey Wilson algebra together with the Hamiltonian. The relationship between the closure relation and the Askey Wilson algebra is clarified. (C) 2010 American Institute of Physics. [doi:10.1063/1.3458866] | |||||
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 | |||||
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, 083502 (2010) and may be found at https://doi.org/10.1063/1.3458866 . | |||||
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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