Authors:
Integrates mathematical physics and the philosophy of physics in a unique way
Relates the Copenhagen Interpretation of Bohr and Heisenberg to the operator algebras of von Neumann
Proposes a new solution to the measurement problem of quantum mechanics based on deep conceptual and mathematical insights
Includes supplementary material: sn.pub/extras
Part of the book series: Fundamental Theories of Physics (FTPH, volume 188)
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Table of contents (12 chapters)

Front Matter

Back Matter
About this book
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 formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the KochenSpecker, Free Will, and Bell Theorems, the KadisonSinger conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory.
This book is Open Access under a CC BY licence.
Keywords
 Quantum measurement problem
 Spontaneous symmetry breaking
 Open Access
 von Neumann operator algebras
 C*algebras
 Quantum mechanics and topos theory
 Formalized Copenhagen Interpretation
 Born rule
 Bohrification
 matrix theory
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Authors and Affiliations

IMAPP, Radboud University Nijmegen IMAPP, Nijmegen, The Netherlands
Klaas Landsman
About the author
Klaas Landsman (1963) obtained his PhD in Theoretical HighEnergy Physics from the University of Amsterdam in 1989. He was a research fellow at the University of Cambridge from 19891997, with a sojourn as Alexander von Humboldt Fellow in Hamburg from 199394. He was subsequently a Royal Academy Research Fellow at the University of Amsterdam from 19972002, and obtained a Pioneer Grant from NWO in 2002. Klaas has held the Chairs in Analysis and subsequently in Mathematical Physics at the Radboud University since 2004, and in 2011 was awarded the Bronze Medal of this university for his outreach work in mathematics. His research is mainly concerned with noncommutative geometry and with the mathematical foundations of quantum theory.
Bibliographic Information
Book Title: Foundations of Quantum Theory
Book Subtitle: From Classical Concepts to Operator Algebras
Authors: Klaas Landsman
Series Title: Fundamental Theories of Physics
DOI: https://doi.org/10.1007/9783319517773
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s) 2017
License: CC BY
Hardcover ISBN: 9783319517766Published: 24 May 2017
Softcover ISBN: 9783319847382Published: 28 July 2018
eBook ISBN: 9783319517773Published: 11 May 2017
Series ISSN: 01681222
Series EISSN: 23656425
Edition Number: 1
Number of Pages: XXXVI, 861
Number of Illustrations: 1 b/w illustrations, 8 illustrations in colour
Topics: Quantum Physics, Mathematical Physics, Philosophical Foundations of Physics and Astronomy, Linear Algebra