dorsal/arxiv
View SchemaBohmian trajectories and quantum phase space distributions
| Authors | Nuno Costa Dias, Joao Nuno Prata |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208156 |
| URL | https://arxiv.org/abs/quant-ph/0208156 |
| DOI | 10.1016/S0375-9601(02)01175-1 |
| Journal | Phys. Lett. A 302 (2002) 261-272 |
Abstract
We prove that most quasi-distributions can be written in a form similar to that of the de Broglie-Bohm distribution, except that ordinary products are replaced by some suitable non-commutative star product. In doing so, we show that the Hamilton-Jacobi trajectories and the concept of "classical pure state" are common features to all phase space formulations of quantum mechanics. Furthermore, these results provide an explicit quantization prescription for classical distributions.
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"abstract": "We prove that most quasi-distributions can be written in a form similar to\nthat of the de Broglie-Bohm distribution, except that ordinary products are\nreplaced by some suitable non-commutative star product. In doing so, we show\nthat the Hamilton-Jacobi trajectories and the concept of \"classical pure state\"\nare common features to all phase space formulations of quantum mechanics.\nFurthermore, these results provide an explicit quantization prescription for\nclassical distributions.",
"arxiv_id": "quant-ph/0208156",
"authors": [
"Nuno Costa Dias",
"Joao Nuno Prata"
],
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"doi": "10.1016/S0375-9601(02)01175-1",
"journal_ref": "Phys. Lett. A 302 (2002) 261-272",
"title": "Bohmian trajectories and quantum phase space distributions",
"url": "https://arxiv.org/abs/quant-ph/0208156"
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