Pseudo-Differential Perturbations of the Landau Hamiltonian

We consider the Landau Hamiltonian H0 on Open image in new window and the spectral asymptotics near the essential spectrum of the perturbed operator H0 + V , for a variety of perturbations V . First, we give a noncomprehensive account on the known results

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Pablo Miranda Nicolas Popoff Georgi Raikov  Editors

Spectral Theory and Mathematical Physics STMP 2018, Santiago, Chile

Latin American Mathematics Series

Latin American Mathematics Series – UFSCar subseries Managing Series Editors César R. de Oliveira, Federal University of São Carlos, São Carlos, Brazil Ruy Tojeiro, University of São Paulo, São Carlos, Brazil

Series Editors Shiferaw Berhanu, Temple University, Philadelphia, PA, USA Ugo Bruzzo, SISSA – Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy Irene Fonseca, Carnegie Mellon University, Pittsburgh, PA, USA

Aims and Scope Published under the Latin American Mathematics Series, which was created to showcase the new, vibrant mathematical output that is emerging from this region, the UFSCar subseries aims to gather high-quality monographs, graduate textbooks, and contributing volumes based on mathematical research conducted at/with the Federal University of São Carlos, a technological pole located in the State of São Paulo, Brazil. Submissions are evaluated by an international editorial board and undergo a rigorous peer review before acceptance.

More information about this subseries at http://www.springer.com/series/15995

Pablo Miranda • Nicolas Popoff • Georgi Raikov Editors

Spectral Theory and Mathematical Physics STMP 2018, Santiago, Chile

Editors Pablo Miranda Departamento de Matemáticas y C. C. Universidad de Santiago de Chile Santiago, Chile

Nicolas Popoff Institut de Mathématiques de Bordeaux Talence, Gironde, France

Georgi Raikov Facultad de Matemáticas Pontificia Universidad Católica de Chile Santiago, Chile

Latin American Mathematics Series ISSN 2524-6755 ISSN 2524-6763 (electronic) Latin American Mathematics Series – UFSCar subseries ISBN 978-3-030-55555-9 ISBN 978-3-030-55556-6 (eBook) https://doi.org/10.1007/978-3-030-55556-6 Mathematics Subject Classification: 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,