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EXPONENTIATION OF CERTAIN MATRICES RELATED TO THE FOUR LEVEL SYSTEM BY USE OF THE MAGIC MATRIX
http://hdl.handle.net/10131/5791
http://hdl.handle.net/10131/5791b0e725dd-55ce-4497-9822-b5d6aa891793
名前 / ファイル | ライセンス | アクション |
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YMJ_54_N1_2007_031-044.pdf (931.5 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | EXPONENTIATION OF CERTAIN MATRICES RELATED TO THE FOUR LEVEL SYSTEM BY USE OF THE MAGIC MATRIX | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Fujii, Kazuyuki
× Fujii, Kazuyuki |
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著者所属 | ||||||
Department of Mathematical Sciences, Yokohama City University, Yokohama, 236-0027, Japan, | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper we show how to calculate explicitly the exponential of certain matrices, which are evolution operators governing the interaction of the four level system of atoms and the radiation, etc. We present a consistent method in terms of the magic matrix by Makhlin. As a closely related subject, we derive a closed form expression of the Baker-Campbell-Hausdor formula for a class of matrices in $SU(4)$ , by use of the method developed by the present $author8$ in $quant-ph/0610009$. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 54, 号 1, p. 31-44, 発行日 2007 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University and Yokohama National University |