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(2001) John von Neumann and the foundations of quantum physics, Dordrecht, Springer.
The story of quantum probability theory and quantum logic begins with von Neumann's recognition1, that quantum mechanics can be regarded as a kind of "probability theory", if the subspace lattice L(H) of the system's Hilbert space H plays the role of event algebra and the "tr(WE)'-s play the role of probability distributions over these events. This idea had been completed in the ">Gleason theorem 2:
Publication details
DOI: 10.1007/978-94-017-2012-0_13
Full citation:
Szabó, L. E. (2001)., Critical reflections on quantum probability theory, in , John von Neumann and the foundations of quantum physics, Dordrecht, Springer, pp. 201-219.
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