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A Note on Quantum Logic and the Uncertainty Principle

Published online by Cambridge University Press:  01 April 2022

Peter Gibbins
Peter Gibbins*
Affiliation:
University of Hull
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Abstract

It is shown that the uncertainty principle has nothing directly to do with the non-localisability of position and momentum for an individual system on the quantum logical view. The product Δx·Δp for localisation of the ranges of position and momentum of an individual system → ∞, while the quantities ΔX and ΔP in the uncertainty principle ΔX·ΔP ≥ ħ/2, must be given a statistical interpretation on the quantum logical view.

Type
Research Article
Information
Philosophy of Science , Volume 48 , Issue 1 , March 1981 , pp. 122 - 126
Copyright
Copyright © 1981 by the Philosophy of Science Association

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Footnotes

†

I should like to thank David B. Pearson for his comments and suggestions, particularly those concerning the proof sketched in section II.

References

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Messiah, A. (1968), Quantum Mechanics Vol. I. Amsterdam: North-Holland.Google Scholar
MacKinnon, E. (1979), “Scientific Realism: The New Debates” in Philosophy of Science 46: 501–532.CrossRefGoogle Scholar