GROUP THEORY
GROUP THEORY
AND ITS APPLICATION
TO PHYSICAL PROBLEMS
by
MORTON HAMERMESH
Professor Emeritus of Physics
University of Minnesota
Dover Publications, Inc.
New York
Copyright © 1962 by Morton Hamermesh.
All rights reserved under Pan American and International Copyright Conventions.
This Dover edition, first published in 1989, is an unabridged, corrected republication of the second (corrected) printing (1964) of the work first published by Addison-Wesley Publishing Company, Inc., Reading, Massachusetts, 1962, in its “Addison-Wesley Series in Physics.”
Manufactured in the United States of America
Dover Publications, Inc., 31 East 2nd Street, Mineola, N.Y. 11501
Library of Congress Cataloging-in-Publication Data
Hamermesh, M. (Morton), 1915–
Group theory and its application to physical problems / by Morton Hamermesh.
p.cm.
Reprint. Originally published: Reading, Mass. : Addison-Wesley, 1962.
Includes bibliographical references.
E-ISBN 0-486-66181-4
1. Group theory.I. Title.
QA171.H28 1989
512′.2—dc20
89-23257
CIP
PREFACE
This book was written in an attempt to make group-theoretical methods a useful tool instead of an esoteric study. I have tried to reformulate the results of papers and books to make the material understandable. For most of the text, no previous knowledge of group theory is needed, but it is assumed that the reader knows quantum mechanics.
The book developed from courses of lectures presented at various times at Argonne National Laboratory. Most of the material on crystal groups and crystalline fields was presented in a course in 1953. Some of the material related to nuclear physics was discussed in a course in 1955. In 1957, I lectured on the Lorentz group. The book contains only the introduction to a treatment of the Lorentz group. I felt that the subject could not be presented properly without a full discussion of quantum field theory.
Much of the final manuscript was written in Zürich, Switzerland, in 1958–59. I am very grateful to the directors of the Argonne National Laboratory for enabling me to spend this concentrated effort on completion of the book. I am also indebted to the Council of the Royal Society, London, for permission to reproduce the tables in Chapters 10 and 11, which were originally published in Proceedings of the Royal Society.
The book is dedicated to my wife, Madeline, w












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