Mendeley出力
＜図書＞
Coherent states, wavelets and their generalizations
| 責任表示 | Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau |
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| シリーズ | Graduate texts in contemporary physics |
| データ種別 | 図書 |
| 出版情報 | New York : Springer , c2000 |
| 本文言語 | 英語 |
| 大きさ | xiii, 418 p. ; 25 cm |
| 概要 | This book presents a survey of the theory of coherent states, wavelets & some of their generalizations, emphasizing mathematical structures. The point of view is that both the theories of wavelets & ...oherent states can be subsumed into a single analytic structure. Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space; a further step allows one to dispense with the group context altogether. In this context, wavelets can be generated from coherent states of the affine group of the real line & higher-dimensional wavelets arise from coherent states of other groups. The unified background makes transparent otherwise obscure properties of wavelets & of coherent states. Many concrete examples, such as semisimple Lie groups, the relativity group & several kinds of wavelets, are discussed detail. The book concludes with physical applications, centering on the quantum measurement problem & the quantum-classical transition. Intended as an introduction to current research for graduate students & others entering the field, the mathematical discussion is selfcontained. With its extensive references to the research literature, the book will also be a useful compendium of recent results for physicists & mathematicians already active in the field. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6869988 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
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理系図3F 数理独自 | ALI,/10/1 | 2000 |
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023212000002115 |
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書誌詳細
| 一般注記 | Includes bibliographical references and index |
|---|---|
| 著者標目 | *Ali, S. Twareque (Syed Twareque) Antoine, Jean-Pierre Gazeau, Jean-Pierre |
| 件 名 | LCSH:Coherent states LCSH:Wavelets (Mathematics) |
| 分 類 | LCC:QC6.4.C65 DC21:530.12/4 |
| 書誌ID | 1001404877 |
| ISBN | 0387989080 |
| NCID | BA4583545X |
| 巻冊次 | ISBN:0387989080 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |