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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

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