论文信息 - Charting the Labyrinth of Quantum Logics: A Progress Report

Charting the Labyrinth of Quantum Logics: A Progress Report

Quantum logic traces to the investigations of Birkhoff and von Neumann1* who suggested that the (closed) subspaces of a (separable) Hilbert space may be interpreted as representing the propositions pertaining to a physical system. Subsequent research has attempted to clarify this suggestion, and a large assortment of mathematical systems have been investigated under the general rubric of quantum logic (QL).

Gary M. Hardegree | Patricia J. Frazer

[1] C. Hooker,et al. Contemporary research in the foundations and philosophy of quantum theory : proceedings of a conference held at the University of Western Ontario, London, Canada , 1973 .

[2] Stanley P. Gudder. Partial algebraic structures associated with orthomodular posets. , 1972 .

[3] J. C. Abbott. Semi-boolean algebra , 1967 .

[4] Zoltan Domotor. The probability structure of quantum-mechanical systems , 1974 .

[5] Michael Danos,et al. The Mathematical Foundations of Quantum Mechanics , 1964 .

[6] Martin Strauss. Mathematics as Logical Syntax — A Method to Formalize the Language of a Physical Theory , 1975 .

[7] Bas C. van Fraassen,et al. The Labyrinth of Quantum Logics , 1974 .

[8] E. Specker,et al. The Problem of Hidden Variables in Quantum Mechanics , 1967 .

[9] J. Neumann,et al. The Logic of Quantum Mechanics , 1936 .

[10] P. Frank,et al. Boston Studies in the Philosophy of Science , 1968 .

[11] J. Neumann. Mathematical Foundations of Quantum Mechanics , 1955 .