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Probability Theory in Quantum Mechanics

  • Leslie E. Ballentine
Conference paper
Part of the Fundamental Theories of Physics book series (FTPH, volume 24)

Abstract

The abstract theory of probability and its interpretation are briefly reviewed, and it is demonstrated that the formalism of quantum mechanics satisfies the axioms of probability theory. This refutes the suggestions which have occasionally been made that “classical” probability theory does not apply to quantum mechanics. Several erroneous applications of probability theory to quantum mechanics are examined, and the nature of the errors are exposed.

Keywords

Quantum Mechanics Probability Theory projectIon Operator Abstract Theory Screen State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    . T. L. Fine, Theories of Probability, and Examination of Foundations (1973, Academic Press, New York).Google Scholar
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    R. T. Cox, The Algebra of Probable Inference (1961, Johns Hopkins Press, Baltimore).zbMATHGoogle Scholar
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    K. R. Popper, “The Propensity Interpretation of Calculus of Probability, and the Quantum Theory”, pp. 65–70 In Observation and Interpretation, edited by S. Korner (1957, Butterworths, London).Google Scholar
  4. 4.
    R. P. Feynman, “The Concept of Probability In Quantum Mechanics”, pp. 533–541In Proceedings of the second Berkeley Symposium on Mathematical Statistics and Probability,(1951, University of California Press, Berkeley, California).Google Scholar
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    B. O. Koopman, “Quantum Theory and the Foundations of Probability”, pp. 97–102 in Applied Probability, edited by L.A. MacColl (1955, McGraw-Hill).Google Scholar
  6. 6.
    G. L. Trigg, Quantum Mechanics (1964, Van Nostrand, Princeton, N.J.).Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • Leslie E. Ballentine
    • 1
  1. 1.Department of PhysicsSimon Fraser UniversityBurnabyCanada

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