On the Einstein-Podolsky-Rosen Proof of the `Incompleteness' of Quantum Mechanics
Abstract
It is shown that the Einstein-Podolsky-Rosen conclusion concerning the `incompleteness' of Quantum Mechanics does not follow from the results of their proposed gedanken experiment, but is rather stated as a premise. If it were possible to perform the experiment it would, in fact, show that Quantum Mechanics is `complete' for the observables discussed. Because, however, of the non square-integrable nature of the wave function, the proposed experiment gives vanishing probabilities for measurements performed in finite intervals of configuration or momentum space. Hence no conclusion as to the `completeness', or otherwise, of Quantum Mechanics can be drawn from the experiment.
Keywords
Cite
@article{arxiv.quant-ph/0702018,
title = {On the Einstein-Podolsky-Rosen Proof of the `Incompleteness' of Quantum Mechanics},
author = {J. H. Field},
journal= {arXiv preprint arXiv:quant-ph/0702018},
year = {2011}
}
Comments
8 pages, v2 has typos corrected and small text additions. Version submitted to Phys. Rev. A