Proceedings of the International School of Physics "Enrico Fermi.", Volume 72N. Zanichelli, 1979 - Nuclear physics |
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Page 33
... theorem , Gleason's theorem , another crucial result which allows identifying states , abstractly defined as probability measures on the proposition lattice , with von Neumann density operators [ 14 ] . Both theorems cannot be used for ...
... theorem , Gleason's theorem , another crucial result which allows identifying states , abstractly defined as probability measures on the proposition lattice , with von Neumann density operators [ 14 ] . Both theorems cannot be used for ...
Page 62
... Gleason's theorem and exceptional states . - 6'1 . In the previous sections the notion of state has repeatedly taken the status of probability measure on the orthomodular poset ( lattice ) L formed by the propositions . The question of ...
... Gleason's theorem and exceptional states . - 6'1 . In the previous sections the notion of state has repeatedly taken the status of probability measure on the orthomodular poset ( lattice ) L formed by the propositions . The question of ...
Page 63
... Gleason's theorem , one of the cornerstones of the mathematical foundations of quantum mechanics . Indeed , this theorem asserts that , except for particular cases , the states defined as probability meas- ures on the orthomodular ...
... Gleason's theorem , one of the cornerstones of the mathematical foundations of quantum mechanics . Indeed , this theorem asserts that , except for particular cases , the states defined as probability meas- ures on the orthomodular ...
Contents
The discovery of the law of radioactive decay | 6 |
Early models of the nucleus | 15 |
Final remarks | 21 |
Copyright | |
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3-geometry algebra assertion atoms axioms Boolean Borel field Borel sets calculus classical concept conditional probability conditionalization corresponding countable course defined definition denote derived deterministic dialog dialog-game disjoint dynamics eigenvalue eigenvectors EINSTEIN elementary elements equation equivalent exists finite formal function geometry given Gleason's theorem Hence Hilbert space induction initial interpretation Journ magnitude Math mathematical means NEUMANN observed orthogonal orthomodular lattice particle photon Phys physical quantity physical system physical theories physicists possible postulate precision probabilistic probability measure probability space probability theory problem procedure propositions quantity Q quantum logic quantum mechanics quantum-logical radioactive random variable real numbers relation relative frequency relf represents respect result rule sequence space-time special relativity spin statistical operator structure subset subspace superspace t₁ T₂ theorem tion transformation truth universal constants vector velocity von Neumann algebra