Hostname: page-component-7b7567c8c-tnzcf Total loading time: 0 Render date: 2026-11-14T11:43:37.023Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get accessRights & Permissions [Opens in a new window]

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.

Information

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

Footnotes

†

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

References

Ahlfors, L.V. (1966), Complex Analysis. New York: McGraw-Hill.Google Scholar
Ballentine, L. (1970), “The Statistical Interpretation of Quantum Mechanics” in Review of Modern Physics 42: 358.CrossRefGoogle Scholar
Levin, M.E. (1979), “Quine's View(s) of Logical Truth” in Essays on the Philosophy of W.V. Quine, Shahan, and Swoyer, (eds.) Norman, Okla.: University of Oklahoma Press: 45–67.Google Scholar
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