Quantum Logic in Algebraic Approach

ISBN-13: 9789048149766 / Angielski / Miękka / 2010 / 243 str.

Miklos Redei; Mikl?'s R. Dei

Opis

This work has grown out of the lecture notes that were prepared for a series of seminars on some selected topics in quantum logic. The seminars were delivered during the first semester of the 1993/1994 academic year in the Unit for Foundations of Science of the Department of History and Foundations of Mathematics and Science, Faculty of Physics, Utrecht University, The Netherlands, while I was staying in that Unit on a European Community Research Grant, and in the Center for Philosophy of Science, University of Pittsburgh, U. S. A. , where I was staying during the 1994/1995 academic year as a Visiting Fellow on a Fulbright Research Grant, and where I also was supported by the Istvan Szechenyi Scholarship Foundation. The financial support provided by these foundations, by the Center for Philosophy of Science and by the European Community is greatly acknowledged, and I wish to thank D. Dieks, the professor of the Foundations Group in Utrecht and G. Massey, the director of the Center for Philosophy of Science in Pittsburgh for making my stay at the respective institutions possible. I also wish to thank both the members of the Foundations Group in Utrecht, especially D. Dieks, C. Lutz, F. Muller, J. Uffink and P. Vermaas and the participants in the seminars at the Center for Philosophy of Science in Pittsburgh, especially N. Belnap, J. Earman, A. Janis, J. Norton, and J.

Recenzje

`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 quantum mechanics.'
Zentralblatt MATH, 910 (1999)

Spis treści

Preface. 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. References. Index.