### Explore

## Foundations of Quantum Theory: From Classical Concepts to Operator Algebras

### Klaas Landsman

### 2017

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 included in DOAB.

### Why read this book? Have your say.

You must be logged in to comment.

#### Rights Information

Are you the author or publisher of this work? If so, you can claim it as yours by registering as an Unglue.it rights holder.#### Downloads

- 42 - pdf (CC BY) at Unglue.it.

#### Keywords

- Algebra
- Bohrification
- Born rule
- C*-algebras
- Formalized Copenhagen Interpretation
- Mathematical physics
- Matrix theory
- Physics
- Quantum measurement problem
- Quantum mechanics and topos theory
- Quantum Physics
- Quantum theory
- Spontaneous symmetry breaking
- von Neumann operator algebras

#### Links

DOI: 10.1007/978-3-319-51777-3web: https://link.springer.com/book/10.1007/978-3-319-51777-3