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<図書>
Unitary symmetry and combinatorics

責任表示 James D. Louck
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.
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所蔵情報



理系図3F 数理独自 LOUC/10/1 2008
023212008004540

書誌詳細

一般注記 Includes bibliographical reference (p. 597-609) and index
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

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