- Paperback: 900 pages
- Publisher: Springer; Softcover reprint of the original 1st ed. 2017 edition (28 July 2018)
- Language: English
- ISBN-10: 3319847384
- ISBN-13: 978-3319847382
- Product Dimensions: 15.6 x 4.5 x 23.4 cm
- Boxed-product Weight: 1.3 Kg
- Average Customer Review: Be the first to review this item
Foundations of Quantum Theory: From Classical Concepts to Operator Algebras Paperback – 28 Jul 2018
From the Back Cover
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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Most helpful customer reviews on Amazon.com
The approach of presenting proofs of very important QM-related theorems, makes this book very useful for both physics and mathematics.
I've checking this book for a while, and I'm really impressed of the organization of this book.
I must also say that this is a very big and complete book on this topic, and that it requires at least intermediate to advanced level to follow on the topics.
Finally, this book presents great appendices on Hilbert Spaces and (Spectral Theory), Functional Analysis and Category Theory.
Overall, this is a great book on QM for both physical and mathematicians.