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

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Page 34

arrangement which, after

only two possible outcomes » as the definition of « proposition ». In this section,

we discuss this point using the notion of state, but leaving aside the notion of ...

arrangement which, after

**interaction**with the physical system, produces one ofonly two possible outcomes » as the definition of « proposition ». In this section,

we discuss this point using the notion of state, but leaving aside the notion of ...

Page 109

If the initial state of S is represented by the eigenvector a, e Jf and the initial state

of M is o„ e Jtf", the measurement

instrument has undergone a change of state from n„ to £>,, indicating the value «,

of A for ...

If the initial state of S is represented by the eigenvector a, e Jf and the initial state

of M is o„ e Jtf", the measurement

**interaction**yields the transition i.e. theinstrument has undergone a change of state from n„ to £>,, indicating the value «,

of A for ...

Page 116

If the statistical operator of 8 4- M after the measurement

state Py, where W = 2(a,, y)a<® »<, then Py defines a classical probability

measure on the Boolean subalgebra Hfs+M generated by the projection

operators PX ...

If the statistical operator of 8 4- M after the measurement

**interaction**is the purestate Py, where W = 2(a,, y)a<® »<, then Py defines a classical probability

measure on the Boolean subalgebra Hfs+M generated by the projection

operators PX ...

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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