## Proceedings of the International School of Physics "Enrico Fermi.", Volume 72N. Zanichelli, 1979 - Nuclear physics |

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Page 74

The operator P0(S) cannot, of course, be normalized by the factor 1/Tr (PC(S)).

von Neumann's use of the term «

operators generating probabilities for the system, and the unnormalized (and ...

The operator P0(S) cannot, of course, be normalized by the factor 1/Tr (PC(S)).

von Neumann's use of the term «

**statistical operator**» covers both the normalizedoperators generating probabilities for the system, and the unnormalized (and ...

Page 80

S,- magnitudes, $t-magnitudes and (S, + <S^-magnitudes are represented by self

- adjoint operators in jf,, jf„ and Jf,(x)J(?t, respectively. A

® jf t determines a unique

S,- magnitudes, $t-magnitudes and (S, + <S^-magnitudes are represented by self

- adjoint operators in jf,, jf„ and Jf,(x)J(?t, respectively. A

**statistical operator**W in ,® jf t determines a unique

**statistical operator**TF1 in , which defines the statistics ...Page 87

The measure function defined as a set function on this field is essentially the «

Stone representative » of the

algebra of magnitudes incorporating the statistics. If we bear in mind the

possibility of ...

The measure function defined as a set function on this field is essentially the «

Stone representative » of the

**statistical operator**W, which is the element in thealgebra of magnitudes incorporating the statistics. If we bear in mind the

possibility of ...

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### Contents

E Amaldi Radioactivity a pragmatic pillar of probabilistic | 1 |

Statistical fluctuations | 10 |

Final remarks | 21 |

Copyright | |

24 other sections not shown

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3-geometry algebra applied assertion atoms axioms Boolean Borel field Borel sets calculus concept conditional probability conditionalization consider corresponding countable course defined definition denote derived deterministic dialog dialog-game disjoint dynamics edited Einstein elements equation equivalent exists experiment finite formal function geometry given Gleason's theorem Hence Hilbert space implies induction initial interaction interpretation irreversible Journ linear magnitude Math mathematical means Neumann non-Boolean notion observable orthogonal orthomodular lattice particle photon Phys physical quantity physical system physical theories physicists positive precision probabilistic probability measure probability space probability theory problem procedure quantum logic quantum mechanics quantum theory quantum-logical question radioactive random variable real numbers relation relative frequency relf represented respect result rule sequence space-time special relativity spin statistical operator subset subspace superspace theorem tion transformation truth universal constants vector velocity von Neumann algebra zero