Can quantum mechanics be formulated as a classical probability theory?

Philosophy of Science 33 (4):317-322 (1966)
It is shown that quantum mechanics cannot be formulated as a stochastic theory involving a probability distribution function of position and momentum. This is done by showing that the most general distribution function which yields the proper quantum mechanical marginal distributions cannot consistently be used to predict the expectations of observables if phase space integration is used. Implications relating to the possibility of establishing a "hidden" variable theory of quantum mechanics are discussed
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DOI 10.1086/288104
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