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On the Problem of Hidden Variables for Quantum Mechanical Observables with Continuous Spectra

Published online by Cambridge University Press:  01 April 2022

Paul Teller
Paul Teller*
Affiliation:
University of Illinois at Chicago Circle
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Abstract

Existing “no hidden variable proofs” for quantum mechanics deal exclusively with observables with discrete spectra. This note shows that similar results hold for observables with continuous spectra.

Type
Research Article
Information
Philosophy of Science , Volume 44 , Issue 3 , September 1977 , pp. 475 - 477
Copyright
Copyright © 1977 by the Philosophy of Science Association

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Footnotes

†

I was put in the position of noticing the fact reported in this note as a direct result of some joint work being carried out with Arthur Fine, who I would also like to thank for much advice on preparing the manuscript.

References

[1] Bell, J. S. “On the Problem of Hidden Variables in Quantum Mechanics.” Reviews of Modern Physics 38 (1966): 447–452.10.1103/RevModPhys.38.447CrossRefGoogle Scholar
[2] Bell, J. S. “Introduction to the Hidden Variable Question.” In Foundations of Quantum Mechanics. Edited by d'Espagnat, B. New York: Academic Press, 1971. Pages 171–181.Google Scholar
[3] Fine, A. “On the Completeness of Quantum Theory.” Synthese 29 (1974): 257–289.10.1007/BF00484961CrossRefGoogle Scholar
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