<図書>
Lie algebras and applications
| 責任表示 | Francesco Iachello |
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| シリーズ | Lecture notes in physics ; 708 |
| データ種別 | 図書 |
| 出版情報 | Berlin : Springer , c2006 |
| 本文言語 | 英語 |
| 大きさ | xiv, 196 p. : ill. ; 25 cm |
| 概要 | This book, designed for advanced graduate students and post-graduate researchers, provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nucle... and hadrons. In the first part, a concise exposition is given of the basic concepts of Lie algebras, their representations and their invariants. The second part contains a description of how Lie algebras are used in practice in the treatment of bosonic and fermionic systems. Physical applications considered include rotations and vibrations of molecules (vibron model), collective modes in nuclei (interacting boson model), the atomic shell model, the nuclear shell model, and the quark model of hadrons. One of the key concepts in the application of Lie algebraic methods in physics, that of spectrum generating algebras and their associated dynamic symmetries, is also discussed. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras. Book jacket.続きを見る |
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 | SER/LNP/708 | 2006 |
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023212006007785 |
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中分セ 研究室 | 420/I 11 | 2006 |
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095212007000155 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. [189]-192) and index |
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| 著者標目 | Iachello, Francesco |
| 分 類 | SG:530 DC22:512.482 |
| 書誌ID | 1001240306 |
| ISBN | 3540362363 |
| NCID | BA78815301 |
| 巻冊次 | ISBN:3540362363 ; XISBN:9783540362364 |
| NBN | 06,N35,056 |
| 登録日 | 2009.09.18 |
| 更新日 | 2009.11.02 |
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