Quantum Statistics
In this chapter, we extend quantum mechanics to the situation when only partial information about the system of interest is available. Here the notion of wave function (i.e. a square integrable function of the particle coordinates – an element of L2(\({\m
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Stephen J. Gustafson Israel Michael Sigal
Mathematical Concepts of Quantum Mechanics Third Edition
Universitext Series Editors Sheldon Axler, San Francisco, USA Carles Casacuberta, Barcelona, Spain John Greenlees, Coventry, UK Angus MacIntyre, London, UK Kenneth Ribet, Berkeley, USA Claude Sabbah, Palaiseau, France Endre Süli, Oxford, UK Wojbor A. Woyczyński, Cleveland, USA
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Stephen J. Gustafson · Israel Michael Sigal
Mathematical Concepts of Quantum Mechanics 3rd edition
Stephen J. Gustafson Department of Mathematics University of British Columbia Vancouver, Canada
Israel Michael Sigal Department of Mathematics University of Toronto Toronto, Canada
ISSN 0172-5939 ISSN 2191-6675 (electronic) Universitext ISBN 978-3-030-59561-6 ISBN 978-3-030-59562-3 (eBook) https://doi.org/10.1007/978-3-030-59562-3 Mathematics Subject Classification: 81S22, 81Q10, 81Q15, 81S40, 81S30, 81Q20, 81U05, 81U10, 81T17, 35Q40, 35Q70, 35P25, 35P15, 47A40, 47A11, 47A40, 47A75 © Springer-Verlag GmbH Germany, part of Springer Nature 2003, 2011, 2020 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 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 register
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