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

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Page 60

In the

separable

become the lattice of all closed (in the sense of

In the

**Hilbert**-**space**model of quantum mechanics & becomes the set of rays of aseparable

**Hilbert space**, < . | . > ... (modulus squared), and both M(&>) and N(&)become the lattice of all closed (in the sense of

**Hilbert spaces**) subspaces of 3tiP.Page 99

This conclusion holds for

Preservation of the functional relations means that, if A and B are any two

quantum- mechanical magnitudes represented by operators in a

such that B = g(A), ...

This conclusion holds for

**Hilbert spaces**of three or more dimensions.Preservation of the functional relations means that, if A and B are any two

quantum- mechanical magnitudes represented by operators in a

**Hilbert space**,such that B = g(A), ...

Page 265

The lattice of subspaces of

axioms [1,2]: i) is a linear vector space with complex coefficients, i.e. for any ...

The lattice of subspaces of

**Hilbert space**. 1'1. The**Hilbert space**. - The abstract**Hilbert space**is a set of elements called vectors f,g,..., which satisfy the followingaxioms [1,2]: i) is a linear vector space with complex coefficients, i.e. for any ...

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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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### Common terms and phrases

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