<図書>
Unitary symmetry and combinatorics
責任表示 | James D. Louck |
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データ種別 | 図書 |
出版情報 | New Jersey : World Scientific , c2008 |
本文言語 | 英語 |
大きさ | xxi, 619 p. : ill. ; 24 cm |
概要 | As an outcome of the books Louck (Los Alamos National Laboratory) and Biedenharm published in the 1980s, one plan was to extend the results for SU2 (which is a quantum mechanical rotation group of 2x2...unitary unimodular matrices) to the general unitary group U(n), based on their 30 years of collaboration. Louck became interested in the combinatorial basis of group representation and tensor operator theory, but has taken time after Biedenharm's death to fully develop their idea. His topics include quantum angular momentum, including combinatorial features, composite systems, including binary coupling theory, graphs and adjacency diagrams, including nonisomorphic trivalent trees and cubic graphs, generating functions, the form of certain polynomials, operator actions in Hilbert space, structure of certain polynomials, the general linear and unitary groups, tensor operator theory, basic algebraic objects, and combinatorial objects. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
目次 | Notation. Quantum angular momentum. Composite systems. Graphs and adjacency diagrams. Generating functions. The D[lambda] polynomials: form. Operator actions in Hilbert space. The D[lambda] polynomials: structure. The general linear and unitary groups. Tensor operator theory. Compendium A. Basic algebraic objects. Compendium B. Combinatorial objects.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 | LOUC/10/1 | 2008 |
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023212008004540 |
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書誌詳細
一般注記 | Includes bibliographical reference (p. 597-609) and index |
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著者標目 | Louck, James D. |
書誌ID | 1001224794 |
ISBN | 9789812814722 |
NCID | BA87227290 |
巻冊次 | ISBN:9789812814722 ; XISBN:9812814728 |
登録日 | 2009.09.18 |
更新日 | 2009.11.02 |