Foundations of Non-Commutative Probability Theory

Citation:

Lehmann, D. . (2009). Foundations of Non-Commutative Probability Theory. Discussion Papers. presented at the 6. Retrieved from /files/dp514.pdf

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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