Table of contents

  1. Front Matter
    Pages i-xxxvi
  2. C0(X) and B(H)

    1. Front Matter
      Pages 21-21
    2. Klaas Landsman
      Pages 23-38 Open Access
    3. Klaas Landsman
      Pages 39-81 Open Access
    4. Klaas Landsman
      Pages 83-101 Open Access
    5. Klaas Landsman
      Pages 103-123 Open Access
    6. Klaas Landsman
      Pages 125-188 Open Access
  3. Between C0(X) and B(H)

    1. Front Matter
      Pages 189-189
    2. Klaas Landsman
      Pages 191-245 Open Access
    3. Klaas Landsman
      Pages 247-291 Open Access
    4. Klaas Landsman
      Pages 293-331 Open Access
    5. Klaas Landsman
      Pages 333-366 Open Access
    6. Klaas Landsman
      Pages 367-433 Open Access
    7. Klaas Landsman
      Pages 435-457 Open Access
    8. Klaas Landsman
      Pages 459-494 Open Access
  4. Back Matter
    Pages 495-881

About this book

Introduction

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 Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer 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

Authors and affiliations

  • Klaas Landsman
    • 1
  1. 1.IMAPPRadboud University Nijmegen IMAPPNijmegenThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-51777-3
  • Copyright Information The Author(s) 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-51776-6
  • Online ISBN 978-3-319-51777-3
  • Series Print ISSN 0168-1222
  • Series Online ISSN 2365-6425
  • About this book