Foundations of Quantum Theory

From Classical Concepts to Operator Algebras

by Klaas Landsman

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Book Description

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 open book is licensed under a Creative Commons License (CC BY). You can download Foundations of Quantum Theory ebook for free in PDF format (7.6 MB).

Book Details

Publisher
Springer
Published
2017
Pages
881
Edition
1
Language
English
ISBN13
9783319517766
ISBN10
3319517767
ISBN13 Digital
9783319517773
ISBN10 Digital
3319517775
PDF Size
7.6 MB
License
CC BY

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