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A Note on Peter Gibbins’ “A Note on Quantum Logic and The Uncertainty Principle”

Published online by Cambridge University Press:  01 April 2022

Max Jammer
Max Jammer*
Affiliation:
Department of Philosophy, Bar-Ilan University and Hebrew University
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Extract

The arguments presented by Gibbins (1981) in his Note are based on a sharp distinction between the product Δx·Δp, which refers to the ranges of position and momentum of an individual system, and the uncertainty principle ΔX·ΔP ≥ ħ/2, which expresses a statistical relation for an ensemble of systems. A critical role in Gibbins’ reasoning is played by the theorem T which states that the restriction of the dynamical variable of position x of an individual system to a finite range Δx excludes the possibility of restricting the canonically conjugate dynamical variable of momentum p to a finite range Δp.

Type
Research Article
Information
Philosophy of Science , Volume 49 , Issue 3 , September 1982 , pp. 478 - 479
Copyright
Copyright © Philosophy of Science Association 1982

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References

Gibbins, P. (1981), “A Note on Quantum Logic and the Uncertainty Principle” in Philosophy of Science 48: 122–126.10.1086/288982CrossRefGoogle Scholar
Jammer, M. (1981), “Zu den philosophischen Konsequenzen der neuen Physik” in Voraussetzungen und Grenzen der Wissenschaft, Radnitzky, and Andersson, (eds.) Tübingen: Mohr.Google Scholar
Lahti, P. J. (1979), Uncertainty and Complementarity in Axiomatic Quantum Mechanics, Report Series No. D 2, Theoretical Physics, Dept. of Physical Sciences, University of Turku, Finland.Google Scholar
Lahti, P. J. (1980), “Uncertainty and Complementarity in Axiomatic Quantum Mechanics” in International Journal of Theoretical Physics 19: 789–842.CrossRefGoogle Scholar
Ludwig, G. (1954), Die Grundlagen der Quantenmechanik. Berlin, Springler-Verlag, 60–61.Google Scholar
Mehlberg, H. (1967), “The Problem of Physical Reality in Contemporary Science” in Quantum Theory and Reality, M. Bunge (ed.), Berlin, Springer-Verlag, 45–65.10.1007/978-3-642-88026-1_3CrossRefGoogle Scholar
Popper, K. R. (1935), Logik der Forschung, Wien: Springer.CrossRefGoogle Scholar
Popper, K. R. (1959), The Logic of Scientific Discovery, New York: Basic Books.Google Scholar