David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Philosophy of Science 28 (4):378-389 (1961)
The fundamental problem considered is that of the existence of a joint probability distribution for momentum and position at a given instant. The philosophical interest of this problem is that for the potential energy functions (or Hamiltonians) corresponding to many simple experimental situations, the joint "distribution" derived by the methods of Wigner and Moyal is not a genuine probability distribution at all. The implications of these results for the interpretation of the Heisenberg uncertainty principle are analyzed. The final section consists of some observations concerning the axiomatic foundations of quantum mechanics
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Zheng Wang & Jerome R. Busemeyer (2013). A Quantum Question Order Model Supported by Empirical Tests of an A Priori and Precise Prediction. Topics in Cognitive Science 5 (4):689-710.
J. M. Jauch (1974). The Quantum Probability Calculus. Synthese 29 (1-4):131 - 154.
Robert W. Latzer (1974). Errors in the No Hidden Variable Proof of Kochen and Specker. Synthese 29 (1-4):331 - 372.
M. L. Dalla Chiara & R. Giuntini (1994). Partial and Unsharp Quantum Logics. Foundations of Physics 24 (8):1161-1177.
Terrence L. Fine (1974). Towards a Revised Probabilistic Basis for Quantum Mechanics. Synthese 29 (1-4):187 - 201.
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