Foundations of Quantum Theory From Classical Concepts to Operator Algebras

This text 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...

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Hlavný autor: Landsman, Klaas
Médium: E-kniha Kniha
Jazyk:English
Vydavateľské údaje: Cham Springer Nature 2017
Springer Open
Springer International Publishing AG
SpringerOpen
Vydanie:1
Edícia:Fundamental Theories of Physics
Predmet:
Algebra
History
Mathematical physics
Mathematics and Science
Matrix theory
Nonfiction
Physics
Quantum physics
Quantum Theory
Science
ISBN:9783319517773, 3319517775, 3319517767, 9783319517766
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Shrnutí:This text 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.
Bibliografia:Includes bibliographical references (p. 835-864) and index
Electronic reproduction. Dordrecht: Springer, 2017. Requires the Libby app or a modern web browser.
MODID-eea0d14d732:Springer Open
ISBN:9783319517773
3319517775
3319517767
9783319517766
DOI:10.1007/978-3-319-51777-3