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Foundations of Non-Commutative Probability Theory

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  • Daniel Lehmann
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    Abstract

    Kolmogorov's setting for probability theory is given an original generalization to account for probabilities arising from Quantum Mechanics. The sample space has a central role in this presentation and random variables, i.e., observables, are defined in a natural way. The mystery presented by the algebraic equations satisfied by (non-commuting) observables that cannot be observed in the same states is elucidated

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    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp514.pdf
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    Bibliographic Info

    Paper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp514.

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    Length: 22 pages
    Date of creation: Jun 2009
    Date of revision:
    Handle: RePEc:huj:dispap:dp514

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