|
| related topics |
| {particle, mechanics, theory} |
| {bell, inequality, local} |
| {measurement, state, measurements} |
| {equation, function, exp} |
| {observables, space, algebra} |
| {let, theorem, proof} |
| {group, space, representation} |
| {error, code, errors} |
| {state, states, coherent} |
|
On the Einstein-Podolsky-Rosen Proof of the `Incompleteness' of Quantum
Mechanics
J. H. Field
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0702018
- categories:
- quant-ph
- comments:
- 8 pages, v2 has typos corrected and small text additions. Version
submitted to Phys. Rev. A
- arxiv_id:
- quant-ph/0702018
- created:
- 2007-02-02
- updated:
- 2007-09-07
Full article ▸
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