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Phys. Rev. A 47, 4616–4626 (1993)

Meaning of the wave function

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Y. Aharonov
Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208
School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel

J. Anandan
Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208

L. Vaidman
School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel

Received 18 December 1992; published in the issue dated June 1993

So far, the wave function has been interpreted as a probability amplitude, which is given physical meaning by ensemble averages of a large number of identical systems at a given time. We give an alternative interpretation of the wave function for a single system by means of a measurement which lasts a long time. This is a measurement on a single quantum system which determines the expectation values of (not necessarily commuting) observables while the wave function is protected from collapsing because it undergoes another suitably chosen interaction. This type of measurement enables the distinction between states which are not orthogonal, but are protected by a suitable interaction with the states of their environment, even for a single system. It therefore gives a different ontological meaning to the wave function. Several experiments in which such a measurement is realized, which can in principle be performed using electrons, neutrons, or atoms, are studied.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.47.4616
DOI:
10.1103/PhysRevA.47.4616
PACS:
03.65.Bz

See Also

Comment: W. G. Unruh, Reality and measurement of the wave function, Phys. Rev. A 50, 882 (1994).

Comment: Carlo Rovelli, Comment on ‘‘Meaning of the wave function’’, Phys. Rev. A 50, 2788 (1994).