An Introduction to Integrable Techniques for One-Dimensional Quantum Systems

This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz,

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Fabio Franchini

An Introduction to Integrable Techniques for One-Dimensional Quantum Systems

Lecture Notes in Physics Volume 940

Founding Editors W. Beiglböck J. Ehlers K. Hepp H. Weidenmüller Editorial Board Matthias Bartelmann, Heidelberg, Germany Peter Hänggi, Augsburg, Bayern, Germany Morten Hjorth-Jensen, Oslo, Norway Richard A.L. Jones, Sheffield, United Kingdom Maciej Lewenstein, Castelldefels (Barcelona), Spain H. von Löhneysen, Karlsruhe, Germany Angel Rubio, Donostia-San Sebastian, Spain Stefan Theisen, Golm, Germany Prof. Dieter Vollhardt, Augsburg, Bayern, Germany James Wells, Michigan, USA Gary P. Zank, HUNTSVILLE, Alabama, USA Manfred Salmhofer, Heidelberg, Baden-Württemberg, Germany Wolfgang Schleich, Ulm, Germany

The Lecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching-quickly and informally, but with a high quality and the explicit aim to summarize and communicate current knowledge in an accessible way. Books published in this series are conceived as bridging material between advanced graduate textbooks and the forefront of research and to serve three purposes: • to be a compact and modern up-to-date source of reference on a well-defined topic • to serve as an accessible introduction to the field to postgraduate students and nonspecialist researchers from related areas • to be a source of advanced teaching material for specialized seminars, courses and schools Both monographs and multi-author volumes will be considered for publication. Edited volumes should, however, consist of a very limited number of contributions only. Proceedings will not be considered for LNP. Volumes published in LNP are disseminated both in print and in electronic formats, the electronic archive being available at springerlink.com. The series content is indexed, abstracted and referenced by many abstracting and information services, bibliographic networks, subscription agencies, library networks, and consortia. Proposals should be sent to a member of the Editorial Board, or directly to the managing editor at Springer: Christian Caron Springer Heidelberg Physics Editorial Department I Tiergartenstrasse 17 69121 Heidelberg/Germany [email protected]

More information about this series at http://www.springer.com/series/5304

Fabio Franchini

An Introduction to Integrable Techniques for One-Dimensional Quantum Systems

123

Fabio Franchini Ruđer Bošković Institute Zagreb Croatia and SISSA Trieste Italy

ISSN 0075-8450 Lecture Notes in Physics ISBN 978-3-319-48486-0 DOI 10.1007/978-3-319-48487-7

ISSN 1616-6361

(electronic)

ISBN 978-3-319-48487-7

(eBook)

Library of Congress Control Number: 2017939323 © The Author(s) 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission