Untenability of simple ensemble interpretations of quantum measurement probabilities
作者:
Daniel T. Gillespie,
期刊:
American Journal of Physics
(AIP Available online 1986)
卷期:
Volume 54,
issue 10
页码: 889-894
ISSN:0002-9505
年代: 1986
DOI:10.1119/1.14784
出版商: American Association of Physics Teachers
关键词: QUANTUM MECHANICS;ENSEMBLE;EIGENVALUES;BELL THEOREM;OBSERVABLES;PROBABILITY;PROJECTION OPERATORS
数据来源: AIP
摘要:
Some interpretations of quantum mechanics try to describe the probabilistic nature of quantum measurements in a way that allows a system in a pure state to always have precise (if not simultaneously knowable) values for all its observable variables. In what might be called asimpleensembleinterpretation, the quantum mechanical state vector is assumed to define a statistical ensemble of identically prepared systems, each of which has precise values for all its observable variables, and the act of measurement is equivalenced to a straightforward sampling of that ensemble. It is shown here, in a manner that should be suitable for a first course in quantum mechanics, that a simple ensemble interpretation is not possible for some quantum systems, and hence is untenable as a general premise. The analysis is essentially a repackaging of the Bell argument against hidden variables, although hidden variables are never invoked here.
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