Ultracold Quantum Fields
Ultracold Quantum Fields provides a self-contained introduction to quantum field theory for many-particle systems, using functional methods throughout. The general focus is on the behaviour of so-called quantum fluids, i.e., quantum gases and liquids, but
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		    Ultracold Quantum Fields
 
  
 
 Theoretical and Mathematical Physics The series founded in 1975 and formerly (until 2005) entitled Texts and Monographs in Physics (TMP) publishes high-level monographs in theoretical and mathematical physics. The change of title to Theoretical and Mathematical Physics (TMP) signals that the series is a suitable publication platform for both the mathematical and the theoretical physicist. The wider scope of the series is reflected by the composition of the editorial board, comprising both physicists and mathematicians. The books, written in a didactic style and containing a certain amount of elementary background material, bridge the gap between advanced textbooks and research monographs. They can thus serve as basis for advanced studies, not only for lectures and seminars at graduate level, but also for scientists entering a field of research.
 
 Editorial Board W. Beiglböck, Institute of Applied Mathematics, University of Heidelberg, Germany J.-P. Eckmann, Department of Theoretical Physics, University of Geneva, Switzerland H. Grosse, Institute of Theoretical Physics, University of Vienna, Austria M. Loss, School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA S. Smirnov, Mathematics Section, University of Geneva, Switzerland L. Takhtajan, Department of Mathematics, Stony Brook University, NY, USA J. Yngvason, Institute of Theoretical Physics, University of Vienna, Austria
 
 For other titles published in this series, go to www.springer.com/series/720
 
 Henk T.C. Stoof • Koos B. Gubbels • Dennis B.M. Dickerscheid
 
 Ultracold Quantum Fields
 
 Henk T.C. Stoof Utrecht University Institute for Theoretical Physics Leuvenlaan 4 3584 CE Utrecht The Netherlands
 
 Koos B. Gubbels Utrecht University Institute for Theoretical Physics Leuvenlaan 4 3584 CE Utrecht The Netherlands
 
 Dennis B.M. Dickerscheid Utrecht University Institute for Theoretical Physics Leuvenlaan 4 3584 CE Utrecht The Netherlands
 
 Library of Congress Control Number: 2008936953
 
 ISSN 1864-5879 ISBN-13 978-1-4020-8762-2 (HB) ISBN-13 978-1-4020-8763-9 (e-book)
 
 Published by Springer Science+Business Media B.V. P.O. Box 17, 3300 AA Dordrecht, The Netherlands In association with Canopus Publishing Limited, 27 Queen Square, Bristol BS1 4ND, UK
 
 www.springer.com and www.canopusbooks.com
 
 All Rights Reserved © 2009 Canopus Academic Publishing Limited No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.
 
 Preface
 
 On June 19th 1999, the European Ministers of Education signed the Bologna Declaration, with which they agreed that the European university education should be uniformized throughout Europe and based on the two-cycle bachelor-master’s system. The Institute for		
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