Foundations of Quantum Theory From Classical Concepts to Operator Al

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical form

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Klaas Landsman

Foundations of Quantum Theory From Classical Concepts to Operator Algebras

Fundamental Theories of Physics Volume 188

Series editors Henk van Beijeren, Utrecht, The Netherlands Philippe Blanchard, Bielefeld, Germany Paul Busch, York, UK Bob Coecke, Oxford, UK Dennis Dieks, Utrecht, The Netherlands Bianca Dittrich, Waterloo, Canada Detlef Dürr, München, Germany Ruth Durrer, Genève, Switzerland Roman Frigg, London, UK Christopher Fuchs, Boston, USA Giancarlo Ghirardi, Trieste, Italy Domenico J.W. Giulini, Bremen, Germany Gregg Jaeger, Boston, USA Claus Kiefer, Köln, Germany Nicolaas P. Landsman, Nijmegen, The Netherlands Christian Maes, Leuven, Belgium Mio Murao, Bunkyo-ku, Japan Hermann Nicolai, Potsdam, Germany Vesselin Petkov, Montreal, Canada Laura Ruetsche, Ann Arbor, USA Mairi Sakellariadou, London, UK Alwyn van der Merwe, Denver, USA Rainer Verch, Leipzig, Germany Reinhard Werner, Hannover, Germany Christian Wüthrich, Geneva, Switzerland Lai-Sang Young, New York City, USA

The international monograph series “Fundamental Theories of Physics” aims to stretch the boundaries of mainstream physics by clarifying and developing the theoretical and conceptual framework of physics and by applying it to a wide range of interdisciplinary scientific fields. Original contributions in well-established fields such as Quantum Physics, Relativity Theory, Cosmology, Quantum Field Theory, Statistical Mechanics and Nonlinear Dynamics are welcome. The series also provides a forum for non-conventional approaches to these fields. Publications should present new and promising ideas, with prospects for their further development, and carefully show how they connect to conventional views of the topic. Although the aim of this series is to go beyond established mainstream physics, a high profile and open-minded Editorial Board will evaluate all contributions carefully to ensure a high scientific standard.

More information about this series at http://www.springer.com/series/6001

Klaas Landsman

Foundations of Quantum Theory From Classical Concepts to Operator Algebras

Klaas Landsman IMAPP Radboud University Nijmegen The Netherlands

ISSN 0168-1222 Fundamental Theories of Physics ISBN 978-3-319-51776-6 DOI 10.1007/978-3-319-51777-3

ISSN 2365-6425

(electronic)

ISBN 978-3-319-51777-3

(eBook)

Library of Congress Control Number: 2017933673 © The Author(s) 2017. This book is an open access publication. Open Access This book is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the book’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the book’s Cre