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Physical theory of measuring process : a critical review

ユタカ シンバ, ミツル フクチ, マコト サカタ, Yutaka Shinba, Mitsuru Fukuchi, Makoto Sakata, 豊 榛葉, 充 福地, 亮 坂田

Published Jan 1, 1980• 0 citations
OpenAlex

Abstract

After a survey of the orthodox interpretation of quantum mechanics and von Neumann's approach to a measurement theory, the measurement theory of Daneri, Loinger and Prosperi is critically reviewed in regard in particular to their aims and assumptions. The review will lead us to see what is still desirable of a physical theory of measurement on quantum mechanical systems.

Related papers

Physical theory of measuring process : a critical review

豊 榛葉, 充 福地, 亮 坂田

After a survey of the orthodox interpretation of quantum mechanics and von Neumann's approach to a measurement theory, the measurement theory of Daneri, Loinger and Prosperi is critically reviewed in regard in particular to their aims and assumptions.The review will lead us to see what is still desirable of a physical theory of measurement on quantum mechanical systems.

Keio Engineering Reports•Feb 1, 1980•0 citations

MEASUREMENT THEORY IN QUANTUM MECHANICS ACCORDING TO DANERI-LOINGER- PROSPERI. CRITICAL STUDY.

Pierre Jasselette, Jacques Voisin

•Jan 1, 1970•0 citations

On the Quantum Theory of Measurement

Gen-Ichiro Nagasaka

Since the formulation of measurement process by von Neumann, numerous attempts have been made to remove the various paradoxical aspects involved in the theory. The present exposition reveals that a serious linguistic confusion existed in the original formulation by von Neumann and no author has ever given serious considerations. A new approach to the problem is proposed which is based upon an interpretation of quantum mechanics basically in the spirit of Copenhagen Interpretation.

Kagaku tetsugaku•Jan 1, 1970•11 citations

Theory of large quantal systems and the quantum theory of measurement

T. F. Hill

The consistency problem of quantum mechanics may be resolved by regarding any measurement performed on an atomic system as essentially involving an interaction between the atomic system and a macroscopic measuring apparatus and the subsequent behaviour of the apparatus in producing a signal to indicate the result of the measurement. Of central importance in such an approach, therefore, is the study of large quantal systems. Along these lines, two approaches to the consistency problem have been provided; one, by the Italian group of Daneri, Loinger and Prosperi, based on a time-independent ergodic theory of large quantal systems; the other by the Belgian group of George, Prigogine and Rosenfeld, based on a time-dependent theory. In this thesis these two theories are compared and are shown to be equivalent.

•Jan 1, 1974•0 citations

Von Neumann's theory of measurement

Rathindra Nath Sen

Von Neumann's theory of measurement in Quantum Mechanics was spelled out in the last chapter of his book, which was published in 1932. This book was highly mathematical for its time, and in 1939 London and Bauer provided a simplified account of the measurement theory part of it (London and Bauer, 1939). Von Neumann died in 1957. Thirty years after the publication of von Neumann's book, Wigner published a review containing his views on the shortcomings of von Neumann's theory, but omitting any discussion of its mathematical core, namely von Neumann's analysis of composite systems (Wigner, 1963). He also published a set of lecture notes entitled Interpretation of Quantum Mechanics (Wigner, 1983) in which some of his concerns were spelled out in greater detail, and an article addressed ‘to an audience of non-physicists’ (Wigner, 1964). Wigner's own contributions to measurement theory were discussed by Shimony in a talk at the Wigner centennial conference (Shimony, 2002). The English translation of von Neumann's book was published in 1955.1 The account that follows is based on these sources. We shall assume that the reader is acquainted with notions such as wave function collapse and the Heisenberg cut, but we shall not assume familiarity with the technicalities of von Neumann's theory. This chapter is organized accordingly. Section 8.1 explains what we mean by the term von Neumann's measurement theory and gives an overview of the subject. It is followed by Sections 8.2 and 8.3, in which the theory is spelled out in detail. Section 8.4 recounts Wigner's reservations.

Cambridge University Press eBooks•Feb 11, 2010•0 citations

Quantum Theoretical Concepts of Measurement: Part I

James L Park

The overall purpose of this paper is to clarify the physical meaning and epistemological status of the term ‘measurement’ as used in quantum theory. After a review of the essential logical structure of quantum physics. Part I presents interpretive discussions contrasting the quantal concepts observable and ensemble with their classical ancestors along the lines of Margenau's latency theory. Against this background various popular ideas concerning the nature of quantum measurement are critically surveyed. The analysis reveals that, in addition to internal mathematical difficulties, all the so-called quantum theories of measurement are grounded in unjustifiable, classical presuppositions.

Philosophy of Science•Sep 1, 1968•36 citations
After a survey of the orthodox interpretation of quantum mechanics and von Neumann's approach to a measurement theory, the measurement theory of Daneri, Loinger and Prosperi is critically reviewed in regard in particular to their aims and assumptions. The review will lead us to see what is still desirable of a physical theory of measurement on quantum mechanical systems.
The consistency problem of quantum mechanics may be resolved by regarding any measurement performed on an atomic system as essentially involving an interaction between the atomic system and a macroscopic measuring apparatus and the subsequent behaviour of the apparatus in producing a signal to indicate the result of the measurement. Of central importance in such an approach, therefore, is the study of large quantal systems. Along these lines, two approaches to the consistency problem have been provided; one, by the Italian group of Daneri, Loinger and Prosperi, based on a time-independent ergodic theory of large quantal systems; the other by the Belgian group of George, Prigogine and Rosenfeld, based on a time-dependent theory. In this thesis these two theories are compared and are shown to be equivalent.
Von Neumann's theory of measurement in Quantum Mechanics was spelled out in the last chapter of his book, which was published in 1932. This book was highly mathematical for its time, and in 1939 London and Bauer provided a simplified account of the measurement theory part of it (London and Bauer, 1939). Von Neumann died in 1957. Thirty years after the publication of von Neumann's book, Wigner published a review containing his views on the shortcomings of von Neumann's theory, but omitting any discussion of its mathematical core, namely von Neumann's analysis of composite systems (Wigner, 1963). He also published a set of lecture notes entitled Interpretation of Quantum Mechanics (Wigner, 1983) in which some of his concerns were spelled out in greater detail, and an article addressed ‘to an audience of non-physicists’ (Wigner, 1964). Wigner's own contributions to measurement theory were discussed by Shimony in a talk at the Wigner centennial conference (Shimony, 2002). The English translation of von Neumann's book was published in 1955.1 The account that follows is based on these sources. We shall assume that the reader is acquainted with notions such as wave function collapse and the Heisenberg cut, but we shall not assume familiarity with the technicalities of von Neumann's theory. This chapter is organized accordingly. Section 8.1 explains what we mean by the term von Neumann's measurement theory and gives an overview of the subject. It is followed by Sections 8.2 and 8.3, in which the theory is spelled out in detail. Section 8.4 recounts Wigner's reservations.
The overall purpose of this paper is to clarify the physical meaning and epistemological status of the term ‘measurement’ as used in quantum theory. After a review of the essential logical structure of quantum physics. Part I presents interpretive discussions contrasting the quantal concepts observable and ensemble with their classical ancestors along the lines of Margenau's latency theory. Against this background various popular ideas concerning the nature of quantum measurement are critically surveyed. The analysis reveals that, in addition to internal mathematical difficulties, all the so-called quantum theories of measurement are grounded in unjustifiable, classical presuppositions.