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The book reviews several theoretical, mostly exactly solvable, models for selected systems in condensed states of matter, including the solid, liquid, and disordered states, and for systems of few or many bodies, both with boson, fermion, or anyon statistics. Some attention is devoted to models for quantum liquids, including superconductors and superfluids. Open problems in relativistic fields and quantum gravity are also briefly reviewed.The book ranges almost comprehensively, but concisely, across several fields of theoretical physics of matter at various degrees of correlation and at different energy scales, with relevance to molecular, solid-state, and liquid-state physics, as well as to phase transitions, particularly for quantum liquids. Mostly exactly solvable models are presented, with attention also to their numerical approximation and, of course, to their relevance for experiments.
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10048_9789813140141_tp.indd 1 11/5/16 2:40 PM May 2, 2013 14:6 BC: 8831 - Probability and Statistical Theory This page intentionally left blank PST˙ws 10048_9789813140141_tp.indd 2 11/5/16 2:40 PM Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE Library of Congress Cataloging-in-Publication Data Names: March, Norman H. (Norman Henry), 1927– author. | Angilella, G. G. N., author. Title: Exactly solvable models for cluster and many-body condensed matter systems / N.H. March (Oxford University), G.G.N. Angilella (University of Catania, Italy). Description: Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2016] Identifiers: LCCN 2016013314| ISBN 9789813140141 (hardcover ; alk. paper) | ISBN 9813140143 (hardcover ; alk. paper) Subjects: LCSH: Condensed matter--Mathematical models. | Many-body problem- Mathematical models. | Microclusters--Mathematical models. Classification: LCC QC173.454 .M365 2016 | DDC 530.4/1--dc23 LC record available at https://lccn.loc.gov/2016013314 British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Copyright © 2016 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. Printed in Singapore LerhFeng - Exactly Solvable Models.indd 1 5/4/2016 11:30:38 AM May 6, 2016 5:46 World Scientific Book - 9in x 6in To Renato Pucci, colleague esteemed and friend invaluable v w page v May 2, 2013 14:6 BC: 8831 - Probability and Statistical Theory This page intentionally left blank PST˙ws May 6, 2016 5:46 World Scientific Book - 9in x 6in Preface About half a decade ago, we edited a book on ‘Many-body theory’ (March and Angilella, 2009) which, however, included only papers from particular research groups, and mostly from that of one of us (NHM). Subsequently, we have felt that a many-body book on ‘Exactly solvable models’ might provide a useful addition to presently available literature. In this context, there is already a valuable book with such a title by D. C. Mattis (1993). How