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Quantum Mechanics and Interpretations of Probability Theory

Published online by Cambridge University Press:  14 March 2022

Neal Grossman
Neal Grossman*
Affiliation:
University of Illinois at Chicago Circle
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Abstract

Several philosophers of science have claimed that the conceptual difficulties of quantum mechanics can be resolved by appealing to a particular interpretation of probability theory. For example, Popper bases his treatment of quantum mechanics on the propensity interpretation of probability, and Margenau bases his treatment of quantum mechanics on the frequency interpretation of probability. The purpose of this paper is (i) to consider and reject such claims, and (ii) to discuss the question of whether the ψ-function refers to an individual system or to an ensemble of systems.

Information

Type
Research Article
Information
Philosophy of Science , Volume 39 , Issue 4 , December 1972 , pp. 451 - 460
Copyright
Copyright © 1972 by The Philosophy of Science Association

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References

REFERENCES

[1] De Broglie, L. Non-Linear Wave Mechanics: A Causal Interpretation. New York: American Elsevier, 1960.Google Scholar
[2] Margenau, H. “Quantum-Mechanical Description.” Physical Review 49 (1936).CrossRefGoogle Scholar
[3] Margenau, H. “Measurements and Quantum States.” (Part II). Philosophy of Science 30 (1963).Google Scholar
[4] Merzbacher, E. Quantum Mechanics. New York: John Wiley, 1969.Google Scholar
[5] Park, J. “Quantum Theoretical Concept of Measurement.” (Part I). Philosophy of Science 35 (1968).Google Scholar
[6] Popper, K. “The Propensity Interpretation of Probability and Quantum Theory.” Observation and Interpretation. Edited by Körner, S. New York: Academic Press, 1958.Google Scholar
[7] Popper, K. “The Propensity Interpretation of Probability.” British Journal for the Philosophy of Science 10 (1959).10.1093/bjps/X.37.25CrossRefGoogle Scholar
[8] Popper, K. “Quantum Mechanics Without the Observer.” Quantum Theory and Reality. Edited by Bunge, M. New York: Springer Verlag, 1967.Google Scholar