Operator Algebras and Quantum Statistical Mechanics Equilibrium Stat
For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. It describes the general structure of equilibrium states, the KMS-condition and stability, quantum spin systems and cont
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R. Balian, Gif-sur-Yvette, France W. Beiglböck, Heidelberg, Germany H. Grosse, Wien, Austria E. H. Lieb, Princeton, NI, USA N. Reshetikhin, Berkeley, CA, USA H.Spohn,~ünchen,Germany
W. Thirring, Wien, Austria
Springer-Verlag Berlin Heidelberg GmbH
Physics and AstronOmy9:J ONUMllIIIWI'I hnp://www.springer.de/physl
Oia Bratteli Derek W. Robinson
Operator Aigebras and Quantum Statistical Mechanics 2 Equilibrium States. Models in Quantum Statistical Mechanies Second Edition
Springer
Professor Ola Bratteli Universitetet i Os10 Matematisk Institutt Moltke Moes vei 31 0316 Oslo, Norway e-mail: [email protected] Horne page: http://www.math.uio.no/~brattelil
Professor Derek W. Robinson Australian National University School of Mathematical Sciences ACT 0200 Canberra, Australia e-mail: [email protected] Horne page: http://www.maths.anu.edu.aul~derekl
Cataloging-in-Publication Data applied for Bibliographie infonnation published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic datais available in the Internet at .
Second Edition 1997. Second Printing 2002 ISSN 0172-5998
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-Verlag. Violations are liable for prosecution under the Gennan Copyright Law.
ISBN 978-3-642-08257-3 ISBN 978-3-662-03444-6 (eBook) DOI 10.1007/978-3-662-03444-6 http://www.springer.de © Springer-Verlag Berlin Heidelberg 1981, 1997 Originally published by Springer-Verlag Berlin Heidelberg New York in 1997. Softcover reprint of the hardcover 2nd edition 1997
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 probreak tective laws and regulations and therefore free for general use. Cover design: de.~ign & producrion GmbH, Heidelberg Printed on acid-free paper 55/311llba 5 4 3 2 I
To Trygve Bratteli, Samuel Robinson, and Harold Ross
Preface to the Second Edition
Fifteen years have passed since completion of the first edition of this book and much has happened. Any attempt to do justice to the new developments would necessitate at least one new volume rather than a second edition of the current one. Fortunately other authors have taken up the challenge of describing these discoveries and our bibliography includes references to a variety of new books that have appeared or are about to appear. We consequently decided to keep the format ofthis book as a basic reference for the operator algebraic approa
