dorsal/arxiv
View SchemaHypersurface Bohm-Dirac models
| Authors | D. Duerr, S. Goldstein, K. Muench-Berndl, N. Zanghi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9801070 |
| URL | https://arxiv.org/abs/quant-ph/9801070 |
| DOI | 10.1103/PhysRevA.60.2729 |
| Journal | Phys.Rev. A60 (1999) 2729-2736 |
Abstract
We define a class of Lorentz invariant Bohmian quantum models for N entangled but noninteracting Dirac particles. Lorentz invariance is achieved for these models through the incorporation of an additional dynamical space-time structure provided by a foliation of space-time. These models can be regarded as the extension of Bohm's model for N Dirac particles, corresponding to the foliation into the equal-time hyperplanes for a distinguished Lorentz frame, to more general foliations. As with Bohm's model, there exists for these models an equivariant measure on the leaves of the foliation. This makes possible a simple statistical analysis of position correlations analogous to the equilibrium analysis for (the nonrelativistic) Bohmian mechanics.
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"abstract": "We define a class of Lorentz invariant Bohmian quantum models for N entangled\nbut noninteracting Dirac particles. Lorentz invariance is achieved for these\nmodels through the incorporation of an additional dynamical space-time\nstructure provided by a foliation of space-time. These models can be regarded\nas the extension of Bohm\u0027s model for N Dirac particles, corresponding to the\nfoliation into the equal-time hyperplanes for a distinguished Lorentz frame, to\nmore general foliations. As with Bohm\u0027s model, there exists for these models an\nequivariant measure on the leaves of the foliation. This makes possible a\nsimple statistical analysis of position correlations analogous to the\nequilibrium analysis for (the nonrelativistic) Bohmian mechanics.",
"arxiv_id": "quant-ph/9801070",
"authors": [
"D. Duerr",
"S. Goldstein",
"K. Muench-Berndl",
"N. Zanghi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.60.2729",
"journal_ref": "Phys.Rev. A60 (1999) 2729-2736",
"title": "Hypersurface Bohm-Dirac models",
"url": "https://arxiv.org/abs/quant-ph/9801070"
},
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