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Quantum Logic in Algebraic Approach

  • Book
  • © 1998

Overview

Authors:
  1. Miklós Rédei

    1. Faculty of Natural Sciences, Loránd Eötvös University, Budapest, Hungary

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 91)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    • Miklós Rédei
    Pages 1-9

  3. Observables and states in the Hilbert space formalism of quantum mechanics

    • Miklós Rédei
    Pages 11-28

  4. Lattice theoretic notions

    • Miklós Rédei
    Pages 29-43

  5. Hilbert lattice

    • Miklós Rédei
    Pages 45-60

  6. Physical theory in semantic approach

    • Miklós Rédei
    Pages 61-75

  7. Von Neumann lattices

    • Miklós Rédei
    Pages 77-101

  8. The Birkhoff-von Neumann concept of quantum logic

    • Miklós Rédei
    Pages 103-117

  9. Quantum conditional and quantum conditional probability

    • Miklós Rédei
    Pages 119-137

  10. The problem of hidden variables

    • Miklós Rédei
    Pages 139-169

  11. Violation of Bell’s inequality in quantum field theory

    • Miklós Rédei
    Pages 171-190

  12. Independence in quantum logic approach

    • Miklós Rédei
    Pages 191-213

  13. Reichenbach’s common cause principle and quantum field theory

    • Miklós Rédei
    Pages 215-225

  14. Back Matter

    Pages 227-243
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Keywords

About this book

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.

Reviews

`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)

Authors and Affiliations

  • Faculty of Natural Sciences, Loránd Eötvös University, Budapest, Hungary

    Miklós Rédei

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