Quantum mechanics with spontaneous localization and the quantum theory of measurement

1987 ◽  
Vol 100 (1) ◽  
pp. 27-41 ◽  
Author(s):  
F. Benatti ◽  
G. C. Ghirardi ◽  
A. Rimini ◽  
T. Weber
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Theory Of Measurement ◽  
Spontaneous Localization ◽  
Quantum Theory Of Measurement

MATHEMATICAL ASPECTS OF QUANTUM PHASE

1995 ◽  
Vol 09 (20) ◽  
pp. 2597-2687 ◽  
Author(s):  
D.A. DUBIN ◽  
M.A. HENNINGS ◽  
T.B. SMITH
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Function Theory ◽  
Theory Of Measurement ◽  
Quantum Phase ◽  
Phase Operator ◽  
Current State ◽  
Classical Function ◽  
Quantum Theory Of Measurement

We consider the current state of the quest for a quantum phase operator, which started in the earliest days of quantum mechanics.4–7 Particular emphasis has been placed on analysis of the structure of the several distinct theories, both physical and mathematical, which has led us from classical function theory to the quantum theory of measurement.

Quantum theory of measurement and ergodicity conditions

1962 ◽  
Vol 33 ◽  
pp. 297-319 ◽  
Author(s):  
A. Daneri ◽  
A. Loinger ◽  
G.M. Prosperi
Keyword(s):  
Quantum Theory ◽  
Theory Of Measurement ◽  
Quantum Theory Of Measurement

scholarly journals Classical Logic in the Quantum Context

2020 ◽  
Vol 2 (4) ◽  
pp. 600-616
Author(s):  
Andrea Oldofredi
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Quantum Logic ◽  
Classical Logic ◽  
Theory Of Measurement ◽  
Propositional Calculus ◽  
Bohmian Mechanics ◽  
Physical Content ◽  
Present Essay ◽  
Classical Propositional Calculus

It is generally accepted that quantum mechanics entails a revision of the classical propositional calculus as a consequence of its physical content. However, the universal claim according to which a new quantum logic is indispensable in order to model the propositions of every quantum theory is challenged. In the present essay, we critically discuss this claim by showing that classical logic can be rehabilitated in a quantum context by taking into account Bohmian mechanics. It will be argued, indeed, that such a theoretical framework provides the necessary conceptual tools to reintroduce a classical logic of experimental propositions by virtue of its clear metaphysical picture and its theory of measurement. More precisely, it will be shown that the rehabilitation of a classical propositional calculus is a consequence of the primitive ontology of the theory, a fact that is not yet sufficiently recognized in the literature concerning Bohmian mechanics. This work aims to fill this gap.

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