Spin Waves: Magnons

The electron spin, which does not explicitly appear in the N-particle Hamiltonian of the solid (except for the spin-orbit coupling and Zeeman terms), will be in the focus of this chapter. In Chaps. 4 and 5 we have addressed already the relevance of spin i

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Advanced Texts in Physics This program of advanced texts covers a broad spectrum of topics which are of current and emerging interest in physics. Each book provides a comprehensive and yet accessible introduction to a field at the forefront of modern research. As such, these texts are intended for senior undergraduate and graduate students at the MS and PhD level; however, research scientists seeking an introduction to particular areas of physics will also benefit from the titles in this collection.

Ulrich Rössler

Solid State Theory An Introduction

With

110

Figures

~ Springer

Professor Ulrich Rössler Institut für Theoretische Physik Universität Regensburg 93040 Regensburg, Germany E-mail: ulrich [email protected] regensburg .de http ://www.physik.uni-regensburg.de/forschunglroessler/roessler/html

ISSN 0171-1873 ISBN 978-3-662-09940-7 (eBook) ISBN 978-3-662-09942-1 DOI 10.1007/978-3-662-09940-7 Library of Congress Control Number : 2004106905 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 microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. springeronline.com © Springer-Verlag Berlin Heidelberg 2004

Originally published by Springer-Verlag Berlin Heidelb erg New York in 2004. Softeover reprint of the hardcover Ist edition 2004 The use of general descriptive names, registered names , trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protect ive laws and regulations and therefore free for general use. Typesetting by the author Final Layout: Frank Herweg, Leutershausen Cover production: design & production GmbH, Heidelberg Printed on acid-free paper

SPIN: 10859833

57/3141/ba - 5 43 2 10

Ta Erika

Preface

The hist ory of my involvement in this book project starts more t han 30 yea rs ago. During t he yea rs 1969-1972 , my t hesis advisor, Otfri ed Mad elung, wrot e aseries of t hree textboo ks on Solid State Theory, ent it led Festkörperth eorie I-lU, which appear ed in the Spr inger pap erback series Heidelberqer Taschenbücher. My fellow gradua te st udents and friends Manfred Lietz , Rolf Sandrock, and Joachim Tr eusch and I, were t he first to pr oof-r ead these books. Bet t er still, we were given the uni que opportunity to provid e input based on insights gained during our st udies. In 1978 when Festkörperth eorie I-lU were par tly rewri t t en a nd t ranslated int o English , Otfried Ma delung again as ked his form er disciples, t hen already established in university positions, for comments and contributions based on t heir r