Relativistic Particle Physics
Why study relativistic particle physics? Because of deeper understanding, curiosity and applications. Consider first deeper understanding. Physics forms the basis of many other sciences, and relativistic particle physics forms the basis of physics. Starti
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W. Beiglböck M. Goldhaber E. H. Lieb W. Thirring Series Editors
Hartmut M. Pilkuhn
Relativistic Particle Physics
Springer-Verlag Berlin Beideiberg GmbH
Hartmut M . Pilkuhn Institut fiir Kernphysik U niversitat Karlsruhe D-7500 Karlsruhe 1, Postfach 6380 Federal Republic of Germany
Editors:
Wolf Beiglbock
Maurice Goldhaber
Institut fiir Angewandte Mathematik Universitat Heidelberg lm Neuenheimer Feld 5 D-6900 Heidelberg 1 Federal Republic of Germany
Department of Physics Brookhaven National Laboratory Associated Universities, lnc. Upton, NY 11973 USA
Elliott H. Lieb
Walter Thirring
Department of Physics Joseph Henry Laboratories Princeton University P. O. Box 708 Princeton, NJ 08540 USA
Institut fiir Theoretische Physik der Universitat Wien Boltzmanngasse 5 A-1090 Wien Austria
With 85 Figures
ISBN 978-3-642-88079-7 (eBook) ISBN 978-3-642-88081-0 DOI 10.1007/978-3-642-88079-7 Library of Congress Cataloging in Publication Data Pilkuhn, Hartmut. Relativistic partide physics. (Texts and monographs in physics) Bibliography: p. lncludes index. 1. Particles (Nuclear physics) 2. Quantum field theory. 1. Title. 530.1 '2 79-10666 QC793.2.P54 Ali rights reserved. No part of this book may be translated or reproduced in any form without written permission from Springer-Verlag.
© Sp ringer-Verlag Berlin Heidelberg 1979 Urspriinglich erschi enen bei Springer-Verlag New York Inc. 1979 Softcover reprint of the hardcover 1st edition 1979
9 87654 32 1
Preface
Why study relativistic particle physics? Because of deeper understanding, curiosity and applications. Consider first deeper understanding. Physics forms the basis of many other sciences, and relativistic particle physics forms the basis of physics. Starting from nonrelativistic point mechanics, there are three major steps: first to classical (unquantized) relativistic electrodynamics, then to nonrelativistic quantum mechanics and finally to relativistic quantum physics. This book describes the third step. Relativistic particle problems which are mainly classical (such as synchrotron radiation) are largely omitted (see for example Jackson 1975). I have divided the subject into several smaller steps. The step from the Schrödinger equation to the Klein-Gordon and Dirac equations (chapter 1) is easy, apart from logical inconsistencies in limiting cases. Chapter 2 deals mainly with two-particle problems. From two-particle unitarity (sect. 2-5) and a symmetric treatment of projectile and target in the Born approximation to scattering (sect. 2-7), one is able to deduce recoil corrections to the relativistic one-particle equations (mainly the reduced mass, sect. 2-9). The final formulas provide a rather firm basis for atomic physics. Quantum electrodynamics (QED) is presented in chapter 3. Clearly, many things must be omitted if one allots one chapter to the subject of whole books (Jauch and Rohrlieh 1976, Källen 1958, Akhiezer and Berestetskii 1965, Bjorken and Drell 1965, Landau and Lifshitz 1971, 1975, and others). I have kept the formalism to a minimum, but I ha
