Classical and Quantum Dynamics From Classical Paths to Path Integral
Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons
- PDF / 5,961,642 Bytes
- 551 Pages / 439.43 x 683.15 pts Page_size
- 43 Downloads / 316 Views
Classical and Quantum Dynamics From Classical Paths to Path Integrals 6th Edition
Classical and Quantum Dynamics
Walter Dittrich • Martin Reuter
Classical and Quantum Dynamics From Classical Paths to Path Integrals Sixth Edition
123
Walter Dittrich Institute of Theoretical Physics University of TRubingen TRubingen, Germany
Martin Reuter Institute of Physics Johannes Gutenberg University Mainz, Germany
ISBN 978-3-030-36785-5 ISBN 978-3-030-36786-2 (eBook) https://doi.org/10.1007/978-3-030-36786-2 1st edition, 2nd edition, 3rd edition: © Springer-Verlag Berlin Heidelberg 1992, 1994, 2001 4th edition, 5th edition: © Springer International Publishing AG 2016, 2017 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, 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 any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface to the Sixth Edition
In the sixth edition of this book, we have added some new chapters. Chapter 39 continues and brings to a close the explicit calculations of the propagation function of a charged spin- 21 particle in a constant electromagnetic field. But now we adopt Fock’s and Schwinger’s proper-time method instead of applying the Van Vleck determinant as done in Chap. 38. This, in fact, signals the beginning of Schwinger’s withdrawal from operator quantum field theory and his return to c-numbers. As it turned out, Schwinger’s article in Phys. Rev. of 1951 is one of the most-cited papers in the physics literature. We will describe his approach in great detail, considering only those parts of his paper that are relevant to the calculations contained in our following chapters. The emphasis lies on c-number field theory rather than on operators and their multiplication at the same space–time point because of their highly complicated high-energy behavior. As a fin
Data Loading...
