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<図書>
Lie algebras and applications

責任表示 Francesco Iachello
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



理系図3F 数理独自 SER/LNP/708 2006
023212006007785


中分セ 研究室 420/I 11 2006
095212007000155

書誌詳細

一般注記 Includes bibliographical references (p. [189]-192) and index
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