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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Foundations of Quantum Theory - From Classical Concepts to Operator Algebras (Hardcover, 1st ed. 2017)
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Foundations of Quantum Theory - From Classical Concepts to Operator Algebras (Hardcover, 1st ed. 2017)
Series: Fundamental Theories of Physics, 188
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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.
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