Advanced Quantum Theory and Its Applications Through Feynman Diagram

For the past five years, my editor at Springer-Verlag has asked me to write a second edition of this text that would incorporate new material on the quark model. Because this is a subject at the forefront of modern physics, whose central ideas are perpetu

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Monographs in Physics

W. Beiglbock

R.P. Geroch

E.H. Lieb

T. Regge

W. Thirriog Series Editors

Michael D. Scadron

Advanced Quantum Theory and Its Applications Through Feynman Diagrams

Second Edition

With 85 Illustrations

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest

Professor Michael D. Scadron Department of Physics University of Arizona Tucson, AZ 85721 USA Series Editors Wolf Beiglback

Robert P. Geroch

Elliott H. Lieb

Institut fiir Angewandte Mathematik Universitat Heidelberg D-6900 Heidelberg 1 Germany

Department of Physics University of Chicago Chicago, IL 60637 USA

Jadwin Hall Princeton University P.O. Box 708 Princeton, NJ 08544 USA

Tullio Regge

Walter Thirring

Istituto de Fisica Teorica Universita di Torino 1-10125 Torino Italy

Institut fUr Theoretische Physik der Universitiit Wien A-1090 Wien Austria

Library of Congress Cataloging in Publication Data Scadron, Michael D. 2nd ed. Advanced quantum theory and its applications through Feynman diagrams. (Texts and monographs in physics) Bibliography: p. Includes index. 1. Quantum theory. 2. Feynman diagrams. I. Title. QCI74.12.S3 530.1'2 91-10273 Printed on acid-free paper.

© 1979, 1991

by Springer-Verlag Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. Typeset by Asco Trade Typesetting Ltd., Hong Kong.

9 8 765 432 1 ISBN-13:978-3-540-53681-9 DOl: 10.1007/978-3-642-61252-7

e- ISBN-13:978-3-642-61252-7

To my wife and daughters,

Arlene, Kari, and Lisa

Preface to the Second Edition

For the past five years, my editor at Springer-Verlag has asked me to write a second edition of this text that would incorporate new material on the quark model. Because this is a subject at the forefront of modern physics, whose central ideas are perpetually in flux, such an addition is not a simple task. Nevertheless, I have tried to discuss quark model topics that should stand the test of time and be of interest to introductory advanced quantum mechanics students as examples of the Feynman diagram technique. I have also tried to eliminate errors made in the first edition. I appreciate the work of R. Miller, who graciously typed the additional material. My colleagues V. Elias, T. Hakioglu, S. Kocic