TY - GEN
T1 - Foundations of non-commutative probability theory
AU - Lehmann, Daniel
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=70350637314&partnerID=8YFLogxK
U2 - 10.1145/1562814.1562841
DO - 10.1145/1562814.1562841
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AN - SCOPUS:70350637314
SN - 9781605585604
T3 - Proceedings of the 12th Conference on Theoretical Aspects of Rationality and Knowledge, TARK '09
SP - 193
EP - 200
BT - Proceedings of the 12th Conference on Theoretical Aspects of Rationality and Knowledge, TARK '09
T2 - 12th Conference on Theoretical Aspects of Rationality and Knowledge, TARK '09
Y2 - 6 July 2009 through 8 July 2009
ER -