Calculus Of Finite Differences In Quantum Electrodynamics

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Among the subjects reviewed in these Advances, the properties and computation of electromagnetic fields have been considered on several occasions. In particular, the early work of H.F. Harmuth on Maxwell's equations, which was highly controversial at the time, formed a supplement to the series This volume, unlike previous volumes in the series concentrates solely on the research of professors' Harmuth and Meffert. These studies raise important and fundamental questions concerning some of the basic areas of physics: electromagnetic theory and quantum mechanics. They deserve careful study and reflection for although the authors do not attempt to provide the definitive answer to the questions, their work is undoubtedly a major step towards such an answer. This volume essential reading for those researchers and academics working applied mathematicians or theoretical physics Unlike previous volumes, this book concentrates solely on the new research of professors Harmuth and MeffertRaises important and fundamental questions concerning electromagnetism theory and quantum mechanicsProvides the steps in finding answers for the highly debated questions

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ADVANCES IN IMAGING AND ELECTRON PHYSICS VOLUME 129 CALCULUS OF FINITE DIFFERENCES IN QUANTUM ELECTRODYNAMICS EDITOR-IN-CHIEF PETER W. HAWKES CEMES-CNRS Toulouse, France ASSOCIATE EDITORS BENJAMIN KAZAN Xerox Corporation Palo Alto Research Center Palo Alto, California TOM MULVEY Department of Electronic Engineering and Applied Physics Aston University Birmingham, United Kingdom Advances in Imaging and Electron Physics Calculus of Finite Differences in Quantum Electrodynamics HENNING F. HARMUTH Retired, The Catholic University of America Washington, DC, USA BEATE MEFFERT Humboldt-Universitat ¨ Berlin, Germany VOLUME 129 This book is printed on acid-free paper. Copyright © 2003, Elsevier Inc. All Rights Reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the Publisher. The appearance of the code at the bottom of the first page of a chapter in this book indicates the Publisher’s consent that copies of the chapter may be made for personal or internal use of specific clients. This consent is given on the condition, however, that the copier pay the stated per copy fee through the Copyright Clearance Center, Inc. (222 Rosewood Drive, Danvers, Massachusetts 01923), for copying beyond that permitted by Sections 107 or 108 of the U.S. Copyright Law. This consent does not extend to other kinds of copying, such as copying for general distribution, for advertising or promotional purposes, for creating new collective works, or for resale. Copy fees for pre-2003 chapters are as shown on the title pages. If no fee code appears on the title page, the copy fee is the same as for current chapters. 1076-5670/2003 $35.00 Permissions may be sought directly from Elsevier's Science & Technology Rights Department in Oxford, UK: phone: (+44) 1865 843830, fax: (+44) 1865 853333, e-mail: [email protected] You may also complete your request on-line via the Elsevier homepage (http://elsevier.com), by selecting “Customer Support” and then “Obtaining Permissions.” Academic Press An Elsevier Imprint. 525 B Street, Suite 1900, San Diego, California 92101-4495, USA http://www.academicpress.com Academic Press 84 Theobald’s Road, London WC1X 8RR, UK http://www.academicpress.com International Standard Book Number: 0-12-014771-8 PRINTED IN THE UNITED STATES OF AMERIC