Nonlinear Optical and Atomic Systems At the Interface of Physics and
Focusing on the interface between mathematics and physics, this book offers an introduction to the physics, the mathematics, and the numerical simulation of nonlinear systems in optics and atomic physics. The text covers a wide spectrum of current researc
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Christophe Besse Jean-Claude Garreau Editors
Nonlinear Optical and Atomic Systems At the Interface of Physics and Mathematics
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Alessio Figalli, Austin Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, Paris and NY Catharina Stroppel, Bonn Anna Wienhard, Heidelberg
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CEMPI is a joint project for research, training and technology transfer of the Laboratoire de Mathématiques Paul Painlevé and the Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) of the Université Lille 1 and the CNRS. It was created as a “Laboratoire d’Excellence” in the framework of the “Programme d’Investissements d’Avenir” of the French government in February 2012. Research at CEMPI covers a wide spectrum of knowledge from pure and applied mathematics to experimental and applied physics. CEMPI organizes every year the Painlevé-CEMPI-PhLAM Thematic Semester that brings together leading scholars from around the world for a series of conferences, workshops and post-graduate courses on CEMPI’s main research topics. For more information, see CEMPI’s homepage http://math.univ-lille1.fr/~cempi/. CEMPI Scientific Coordinator and CEMPI Series Editor Stephan DE BIÈVRE (Université Lille 1) CEMPI Series Editorial Board Prof. Fedor A. BOGOMOLOV (New York University) Dr. Jean-Claude GARREAU (Université Lille 1 and CNRS) Prof. Alex LUBOTZKY (Hebrew University) Prof. Matthias NEUFANG (Carleton University and Université Lille 1) Prof. Benoît PERTHAME (Université Pierre et Marie Curie) Prof. Herbert SPOHN (Technische Universität München) More information about this series at http://www.springer.com/series/304
Christophe Besse • Jean-Claude Garreau Editors
Nonlinear Optical and Atomic Systems At the Interface of Physics and Mathematics
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Editors Christophe Besse Institut de Mathématiques de Toulouse Université Toulouse 3 Toulouse, France
ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-19014-3 DOI 10.1007/978-3-319-19015-0
Jean-Claude Garreau Sciences et Technologies PhLAM, Université de Lille 1 Villeneuve d’Ascq Cedex, France
ISSN 1617-9692
(electronic)
ISBN 978-3-319-19015-0
(eBook)
Library of Congress Control Number: 2015945575 Mathematics Subject Classification (2010): 35-01, 35Q41, 35Q70, 35Bxx, 35Jxx, 35Pxx Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 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 or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descrip
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