Quantum logic in algebraic approach / by Miklós Rédei.

Format:

Book

Author/Creator:

Rédei, Miklós.

Series:

Fundamental theories of physics ; v. 91.

Fundamental theories of physics ; v. 91

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Quantum theory.

Hilbert space.

Quantum field theory.

Physical Description:

x, 238 pages ; 25 cm.

Place of Publication:

Dordrecht ; Boston : Kluwer Academic Publishers, [1998]

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 of the common cause principle in quantum field theory. Other topics treated include the theory of quantum conditional and statistical inference, an operator algebraic treatment of the hidden variable problem and the semantic approach to physical theories. Audience: This volume will be of interest to mathematicians, physicists, mathematical physicists and historians and philosophers of science involved in interpretational problems of quantum mechanics and quantum field theory.

Notes:

Includes bibliographical references (pages 227-234) and index.

ISBN:

0792349032

OCLC:

38030196