Quantum theory of measurement and the modal interpretations of quantum mechanics

1995 ◽  
Vol 34 (8) ◽  
pp. 1271-1281
Author(s):  
Gianni Cassinelli ◽  
Pekka J. Lahti
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Theory Of Measurement ◽  
Interpretations Of Quantum Mechanics ◽  
Modal Interpretations ◽  
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.

scholarly journals Contiguity and the Quantum Theory of Measurement

1995 ◽  
Vol 48 (4) ◽  
pp. 613 ◽  
Author(s):  
HS Green
Keyword(s):  
Information Theory ◽  
Quantum Mechanics ◽  
Theory Of Measurement ◽  
Hidden Variables ◽  
Conserved Quantities ◽  
Epr Paradox ◽  
Measuring Devices ◽  
Interpretations Of Quantum Mechanics ◽  
Utility Of Information ◽  
Quantum Theory Of Measurement

This paper presents a comprehensive treatement of the problem of measurement in microscopic physics, consistent with the indeterministic Copenhagen interpretation of quantum mechanics and information theory. It is pointed out that there are serious difficulties in reconciling the deterministic interpretations of quantum mechanics, based on the concepts of a universal wave function or hidden variables, with the principle of contiguity. Quantum mechanics is reformulated entirely in terms of observables, represented by matrices, including the statistical matrix, and the utility of information theory is illustrated by a discussion of the EPR paradox. The principle of contiguity is satisfied by all conserved quantities. A theory of the operation of macroscopic measuring devices is given in the interaction repesentation, and the attenuation of the indeterminacy of a microscopic observable in the process of measurement is related to observable changes of entropy.

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
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