dorsal/arxiv
View SchemaEinstein, Podolsky and Rosen versus Bohm and Bell
| Authors | Andrei Khrennikov, Igor Volovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211078 |
| URL | https://arxiv.org/abs/quant-ph/0211078 |
Abstract
There is an opinion that the Bohm reformulation of the EPR paradox in terms of spin variables is equivalent to the original one. In this note we show that such an opinion is not justified. We apply to the original EPR problem the method which was used by Bell for the Bohm reformulation. He has shown that correlation function of two spins cannot be represented by classical correlation of separated bounded random processes. This Bell`s theorem has been interpreted as incompatibility of local realism with quantum mechanics. We show that, in contrast to Bell`s theorem for spin or polarization correlation functions, the correlation of positions (or momenta) of two particles, depending on the rotation angles, in the original EPR model always admits a representation in the form of classical correlation of separated random processes. In this sense there exists a local realistic representation for the original EPR model but there is no such a representation for the Bohm spin reformulation of the EPR paradox. It shows also that the phenomena of quantum nonlocality is based not only on the properties of entangled states but also on the using of particular bounded observables.
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"abstract": "There is an opinion that the Bohm reformulation of the EPR paradox in terms\nof spin variables is equivalent to the original one. In this note we show that\nsuch an opinion is not justified. We apply to the original EPR problem the\nmethod which was used by Bell for the Bohm reformulation. He has shown that\ncorrelation function of two spins cannot be represented by classical\ncorrelation of separated bounded random processes. This Bell`s theorem has been\ninterpreted as incompatibility of local realism with quantum mechanics. We show\nthat, in contrast to Bell`s theorem for spin or polarization correlation\nfunctions, the correlation of positions (or momenta) of two particles,\ndepending on the rotation angles, in the original EPR model always admits a\nrepresentation in the form of classical correlation of separated random\nprocesses. In this sense there exists a local realistic representation for the\noriginal EPR model but there is no such a representation for the Bohm spin\nreformulation of the EPR paradox. It shows also that the phenomena of quantum\nnonlocality is based not only on the properties of entangled states but also on\nthe using of particular bounded observables.",
"arxiv_id": "quant-ph/0211078",
"authors": [
"Andrei Khrennikov",
"Igor Volovich"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th"
],
"title": "Einstein, Podolsky and Rosen versus Bohm and Bell",
"url": "https://arxiv.org/abs/quant-ph/0211078"
},
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