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.

Quantum Logic in Algebraic Approach (Fundamental Theories of Physics) PDF

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