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Modification of Crum's Theorem for 'Discrete' Quantum Mechanics
http://hdl.handle.net/10091/17227
http://hdl.handle.net/10091/17227285893d2-2b87-45bf-aa3f-18f63236ed8d
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 | 2013-11-05 | |||||||||||
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タイトル | Modification of Crum's Theorem for 'Discrete' Quantum Mechanics | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
DOI | ||||||||||||
関連識別子 | https://doi.org/10.1143/PTP.124.1 | |||||||||||
関連名称 | 10.1143/PTP.124.1 | |||||||||||
資源タイプ | ||||||||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
タイプ | journal article | |||||||||||
著者 |
Garcia-Gutierrez, Leonor
× Garcia-Gutierrez, Leonor
× 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 | PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE | |||||||||||
引用 | ||||||||||||
内容記述 | PROGRESS OF THEORETICAL PHYSICS. 124(1):1-26 (2010) | |||||||||||
書誌情報 |
PROGRESS OF THEORETICAL PHYSICS 巻 124, 号 1, p. 1-26, 発行日 2010-06 |
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抄録 | ||||||||||||
内容記述 | Crum's theorem in one-dimensional quantum mechanics asserts the existence of an associated Hamiltonian system for any given Hamiltonian with the complete set of eigenvalues and eigenfunctions. The associated system is iso-spectral to the original one except for the lowest energy state, which is deleted. A modification due to Krein-Adler provides algebraic construction of a new complete Hamiltonian system by deleting a finite number of energy levels. Here we present a discrete version of the modification based on Crum's theorem for the 'discrete' quantum mechanics developed by two of the present authors. | |||||||||||
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収録物識別子タイプ | ISSN | |||||||||||
収録物識別子 | 0033-068X | |||||||||||
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収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA00791455 | |||||||||||
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出版タイプ | VoR | |||||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
WoS | ||||||||||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000280654900001 |