Texts and Monographs Series Editors: R. Balian, Gif-sur-Yvette, France W. Beiglböck, Heidelberg, Germany H. Grosse, Wien, Austria E. H. Lieb, Princeton, NJ, USA N. H. Reshetikhin, Berkeley, CA, USA Spohn, München, Germany W. Thirring, Wien, Austria in Physics Springer Berlin Heidelberg New York Hong Kong London Milan Paris Tokyo Physics and Astronomy l ONLINE LIBRARY http://www.springer.de/phys/ Ola Bratteli Derek W. Robinson Operator Algebras and Quantum Statistical Mechanics 2 Equilibrium States. Models in Quantum Second Edition Springer Statistical Mechanics Professor Ola Bratteli Universitetet i Oslo Matematisk Institutt Moltke Moes vei 3 1 0316 Oslo, Norway e-mail:
[email protected] Home page: http://www.math.uio.no/~bratteli/ Professor Derek W. Robinson Australian National University School of Mathematical Sciences ACT 0200 Canberra, Australia e-mail:
[email protected] Home page: http://wwwmaths.anu.edu.au/~derek/ Cataloging-in-Publication Data applied for published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic datais available in the Internet at . Bibliographie information Second Edition 1997. Second Printing 2002 ISSN 0172-5998 ISBN 3-540-61443-5 2nd Edition ISBN 3-540-1038 1-3 Ist Edition Springer- Verlag Springer- Verlag Berlin Berlin Heidelberg Heidelberg New York New York This work is subject to Copyright. All rights are reserved, whether the whole or part of the material is conceraed, 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-Vedag. Violations are liable for prosecution under the German Copyright Law. Springer- Verlag Berlin Heidelberg New York a member of BertelsmannSpringer Science+Business Media GmbH http://www.springer.de © Springer-Veriag Berlin Heidelberg 1981, Germany 1997 Printed in The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the specific Statement, that such names are exempt from the relevant probreak tective laws and regulations and free for general use. absence of therefore Cover a design: dexign Printed on & production GmbH, Heidelberg acid-free paper SPIN 10885999 55/3141/ba 543210 To Trygve Bratteli, Samuel Robinson, and Harald ROSS Preface to the Second Edition Fifteen years have and much has