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Pablo Miranda - Spectral Theory and Mathematical Physics: STMP 2018, Santiago, Chile

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Pablo Miranda Spectral Theory and Mathematical Physics: STMP 2018, Santiago, Chile

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This proceedings volume contains peer-reviewed, selected papers and surveys presented at the conference Spectral Theory and Mathematical Physics (STMP) 2018 which was held in Santiago, Chile, at the Pontifical Catholic University of Chile in December 2018. The original works gathered in this volume reveal the state of the art in the area and reflect the intense cooperation between young researchers in spectral theoryand mathematical physics and established specialists in this field. The list of topics covered includes: eigenvalues and resonances for quantum Hamiltonians; spectral shift function and quantum scattering; spectral properties of random operators; magnetic quantum Hamiltonians; microlocal analysis and its applications in mathematical physics. This volume can be of interest both to senior researchers and graduate students pursuing new research topics in Mathematical Physics.

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Latin American Mathematics Series Latin American Mathematics Series UFSCar - photo 1
Latin American Mathematics Series Latin American Mathematics Series UFSCar subseries

This new series aims to gather monographs, textbooks and contributed volumes based on mathematical research conducted at/with institutions based in Latin America. This series is open to subseries, which could be topical with contributions from a myriad of institutions or exclusively supplied by a single Latin American research institution. Standalone books are also welcome. Books published in cooperation with research institutions may carry the name and the logo of the research institute on the cover. While it is expected that many subseries will be linked to a research institute or University located in Latin America, the creation of topical subseries, not necessarily related to institutions, is also possible. All subseries should have their own editorial board comprised of distinguished international researchers with a strong academic background. Legal permission for Springer to commercially use the institutions brand and logo may be required.

Editors
Pablo Miranda , Nicolas Popoff and Georgi Raikov
Spectral Theory and Mathematical Physics
STMP 2018, Santiago, Chile
1st ed. 2020
Editors Pablo Miranda Departamento de Matemticas y C C Universidad de - photo 2Editors Pablo Miranda Departamento de Matemticas y C C Universidad de - photo 3
Editors
Pablo Miranda
Departamento de Matemticas y C. C., Universidad de Santiago de Chile, Santiago, Chile
Nicolas Popoff
Institut de Mathmatiques de Bordeaux, Talence, Gironde, France
Georgi Raikov
Facultad de Matemticas, Pontificia Universidad Catlica de Chile, Santiago, Chile
Latin American Mathematics Series
ISSN 2524-6755 e-ISSN 2524-6763
Latin American Mathematics Series UFSCar subseries
ISBN 978-3-030-55555-9 e-ISBN 978-3-030-55556-6
https://doi.org/10.1007/978-3-030-55556-6
Mathematics Subject Classication (2010): 35P20 35P25 47B35 47F05 81Q10
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
This work is subject to copyright. All rights are solely and exclusively licensed 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 descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This Springer imprint is published by the registered company Springer Nature Switzerland AG.

The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

This volume contains the proceedings of the conference Spectral Theory and Mathematical Physics (STMP) that took place at the Pontificia Universidad Catlica de Chile (PUC), Santiago, in December 2018. The main purpose of this conference was to bring together a number of young researchers in spectral theory and mathematical physics, and some established specialists in this field, to connect people from different schools and generations, give them the opportunity to exchange ideas and start new collaboration. The conference STMP was organized within the framework of the grant for international networking of young researchers (Grant REDI170562) financed by the Chilean National Commission for Scientific and Technological Research (CONICYT). We were also supported by the French National Centre for Scientific Research (CNRS) international collaboration grant PICS07851. The organizers gratefully acknowledge the financial support of CONICYT, CNRS, the Vice-Rectory of Research and the Faculty of Mathematics of PUC, the International Association of Mathematical Physics, and the Chilean National Fund for Scientific and Technological Development (FONDECYT). Special gratitude is due to the Faculty of Mathematics of PUC for hosting the conference and to its administrative staff for their logistic help in the organization of STMP.

This volume contains survey articles and original results presented at the conference. Most of the chapters are dedicated to some of the following topics:
  • Eigenvalues and resonances for quantum Hamiltonians,

  • Spectral shift function and quantum scattering,

  • Spectral properties of random operators,

  • Magnetic quantum Hamiltonians, and

  • Microlocal analysis and its applications in mathematical physics.

As editors, we are grateful to the authors who contributed to this book and to the referees for their professional and time-consuming work. We would also like to thank Liliya Simeonova for handling manuscripts and referee reports and for technical assistance in the preparation of this volume.

It has become a tradition to organize in Santiago de Chile conferences on spectral theory and mathematical physics and to publish their proceedings. The present publication is the third of the series. The proceedings of Spectral Days 2010 and those of STMP 2014 were published by Springer in 2012 and 2016, respectively. We hope to maintain this tradition in the future.

Pablo Miranda
Nicolas Popoff
Georgi Raikov
Santiago, Chile Talence, France Santiago, Chile
Contents
Tadayoshi Adachi , Kyohei Itakura , Kenichi Ito and Erik Skibsted
Marouane Assal
Olivier Bourget , Gregorio R. Moreno Flores and Amal Taarabt
Olivier Bourget , Diomba Sambou and Amal Taarabt
Esteban Crdenas
Maarten V. de Hoop and Alexei Iantchenko
Csar R. de Oliveira and Mariane Pigossi
Setsuro Fujii , Andr Martinez and Takuya Watanabe
Atsuhide Ishida
Galina Levitina and Fedor Sukochev
Carlos Prez-Estrada and Carlos Villegas-Blas
Nicolas Popoff
Serge Richard and Tomio Umeda
Heinz Siedentop
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
P. Miranda et al. (eds.) Spectral Theory and Mathematical Physics Latin American Mathematics Series https://doi.org/10.1007/978-3-030-55556-6_1
Commutator Methods for N-Body Schrdinger Operators
Tadayoshi Adachi
(1)
Graduate School of Human and Environmental Studies, Kyoto University, Kyoto, Japan
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