03729 - Group Representation Theory for Physicists [Chen-Ping-Wang].pdf

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Grou
Represent n Theory
for
Physicists
Grou
Represen n Theory
for
Physicists
Jin-Quan Chen, Jialun Ping
&
Fan Wang
Nanjing University, China
b
World Scientific
II
New Jersey• London
•
Singapore
•
Hong Kong
Published by
World Scientific Publishing Co. Pte. Ltd.
P
0
Box 128, Farrer Road, Singapore 912805
USA office:
Suite IB, 1060 Main Street, River Edge, NJ 07661
UK office:
57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
GROUP REPRESENTATION THEORY FOR PHYSICISTS, 2nd Edition
Copyright© 2002 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereof, niay not be reproduced in any form or by any means, electronic
or mechanical, including photocopying, recording or any information storage and retrieval system now
known or to be invented, without written permission from the Publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance
Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not
required from the publisher.
ISBN 981-238-065-5
Printed in Singapore
by
World Scientific Printers (S) Pte Ltd
Foreword to the first edition
A new generation of books on group theory for physicists has appeared over the last ten years.
Many of them deal only with elementary particle physics or with condensed matter physics. This
volume by Prof. Jin-Quan Chen is a serious attempt to cover a broad range of applications of
group theory to physics. It begins with an introduction to the elements of group theory and the
theory of representations. Representations of finite groups and character theory are carefully
treated and applied in later chapters to point groups and space groups, where thorough and
practical information is given about molecular and crystal groups.
The permutation group is discussed in detail, and its use in finding the irreducible represen-
tations of unitary groups is carefully and completely covered. Lie groups and Lie algebras are
treated sufficiently to enable their use in elementary particle physics, with a thorough presenta-
tion of Dynkin diagrams and the reduction of products.
For spectroscopy and, in particular, nuclear spectroscopy, this is the first up-to-date and
thorough treatment of the calculation of isoscalar factors and coefficients of fractional parentage.
There are extensive tables and indications of computational methods.
With his collaborators in Nanjing and Philadelphia, Chen has contributed extensively to new
developments over the past decade. These researches are incorporated into the present book, of
which a preliminary version was published a few years ago in the People's Republic of China.
It has been a pleasure for me to talk with Chen many times about group theory and a special
pleasure to welcome the appearance of this book.
Morton Hamermesh
University of Minnesota
v

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