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Quantum logic in algebraic approach

Author: Miklós Rédei
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©1998.
Series: Fundamental theories of physics, v. 91.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This book is the first to present quantum logic in relation to von Neumann algebra theory. Based on developing quantum logic in terms of operator algebras the book reconstructs and reevaluates the Birkhoff-von Neumann concept of quantum logic. It also covers recent results such as the violation of Bell's inequality in relativistic quantum field theory, the logical independence of von Neumann lattices and the status
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Miklós Rédei
ISBN: 0792349032 9780792349037
OCLC Number: 38030196
Description: x, 238 pages ; 25 cm.
Contents: 1. Introduction --
2. Observables and states in the Hilbert space formalism of quantum mechanics --
3. Lattice theoretic notions --
4. Hilbert lattice --
5. Physical theory in semantic approach --
6. Von Neumann lattices --
7. The Birkhoff-von Neumann concept of quantum logic --
8. Quantum conditional and quantum conditional probability --
9. The problem of hidden variables --
10. Violation of Bell's inequality in quantum field theory --
11. Independence in quantum logic approach --
12. Reichenbach's common cause principle and quantum field theory.
Series Title: Fundamental theories of physics, v. 91.
Responsibility: by Miklós Rédei.
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Abstract:

Presents quantum logic in relation to von Neumann algebra theory. This book reconstructs and reevaluates the Birkhoff-von Neumann concept of quantum logic. It also covers recent results such as the  Read more...

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`As an extraordinarily readable monograph with a well-chosen topic, the book can be highly recommended to students and researchers in quantum physics as well as in mathematical fields related to Read more...

 
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