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Analogs of de Finetti's theorem and interpretative problems of quantum mechanics

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Abstract

It is argued that the characterization of the states of an infinite system of indistinguishable particles satisfying Bose-Einstein statistics which follows from the quantum-mechanical analog of de Finetti's theorem(2) can be used to interpret the nonuniqueness of the resolution into a convex combination of pure states of a quantum-mechanical mixed state.

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References

  1. G. Choquet,Lecture on Analysis, vol. II (Benjamin, New York, 1969).

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  2. R. L. Hudson and G. R. Moody,Z. Wahrscheinlichkeitstheorie verw. Gebiete 33, 343, 1976.

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  3. W. Ochs, Some comments on the concept of state in quantum mechanics,Erkenntnis, to be published.

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A preliminary version of this work was formulated at the International Symposium on Logic, Probability, and Measurement in Quantum Mechanics held in June 1979 under the auspices of the Bavarian Academy of Sciences.

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Hudson, R.L. Analogs of de Finetti's theorem and interpretative problems of quantum mechanics. Found Phys 11, 805–808 (1981). https://doi.org/10.1007/BF00726951

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  • DOI: https://doi.org/10.1007/BF00726951

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