Integrability, Supersymmetry and Coherent States A Volume in Honour

This volume shares and makes accessible new research lines and recent results in several branches of theoretical and mathematical physics, among them Quantum Optics, Coherent States, Integrable Systems, SUSY Quantum Mechanics, and Mathematical Methods in

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Şengül Kuru Javier Negro Luis M. Nieto Editors

Integrability, Supersymmetry and Coherent States A Volume in Honour of Professor Véronique Hussin

CRM Series in Mathematical Physics Editorial Board: Joel S. Feldman Department of Mathematics University of British Columbia Vancouver, British Columbia V6T 1Z2 Canada [email protected] Duong H. Phong Department of Mathematics Columbia University New York, NY 10027–0029 USA [email protected] Yvan Saint-Aubin Département de Mathématiques et de Statistique Université de Montréal C.P. 6128, Succursale Centre-ville Montréal, Québec H3C 3J7 Canada [email protected] Luc Vinet Département de Physique CRM, Université de Montréal C.P. 6128, Succursale Centre-ville Montréal, Québec H3C 3J7 Canada [email protected]

The Centre de recherches mathématiques (CRM) was created in 1968 by the Université de Montréal to promote research in the mathematical sciences. It is now a national institute that hosts several groups and hold special theme years, summer schools, workshops, and a postdoctoral program. The focus of its scientific activities ranges from pure to applied mathematics and includes statistics, theoretical computer science, mathematical methods in biology and life sciences, and mathematical and theoretical physics. The CRM also promotes collaboration between mathematicians and industry. It is subsidized by the Natural Sciences and Engineering Research Council in Canada, the Fonds FCAR of the Province of Québec, and the Canadian Institute for Advanced Research and has private endowments. Current activities, fellowships, and annual reports can be found on the CRM Web page at www.CRM.UMontreal.CA. The CRM Series in Mathematical Physics includes monographs, lecture notes, and proceedings based on research pursued and events held at the Centre de recherches mathématiques.

More information about this series at http://www.springer.com/series/3872

Seng¨ ¸ ul Kuru • Javier Negro • Luis M. Nieto Editors

Integrability, Supersymmetry and Coherent States A Volume in Honour of Professor Véronique Hussin

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Editors Seng¨ ¸ ul Kuru Department of Physics Ankara University Ankara, Turkey

Javier Negro Department of Theoretical Physics, Atomic Physics and Optics University of Valladolid Valladolid, Spain

Luis M. Nieto Department of Theoretical Physics, Atomic Physics and Optics University of Valladolid Valladolid, Spain

CRM Series in Mathematical Physics ISBN 978-3-030-20086-2 ISBN 978-3-030-20087-9 (eBook) https://doi.org/10.1007/978-3-030-20087-9 © Springer Nature Switzerland AG 2019 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