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Foundations of Quantum Theory: From Classical Concepts to Operator Algebras

Foundations of Quantum Theory: From Classical Concepts to Operator Algebras

Hardcover

Series: Fundamental Theories of Physics, Book 188

AlgebraPhysics

ISBN10: 3319517767
ISBN13: 9783319517766
Publisher: Springer
Published: May 24 2017
Pages: 861
Weight: 3.14
Height: 1.88 Width: 6.14 Depth: 9.21
Language: English

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.

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