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Foundations of Non-Commutative Probability Theory

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  • Daniel Lehmann

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

Suggested Citation

  • Daniel Lehmann, 2009. "Foundations of Non-Commutative Probability Theory," Discussion Paper Series dp514, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  • Handle: RePEc:huj:dispap:dp514
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