dorsal/arxiv
View SchemaOn the Global Existence of Bohmian Mechanics
| Authors | K. Berndl, D. Dürr, S. Goldstein, G. Peruzzi, N. Zangh\`ı |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9503013 |
| URL | https://arxiv.org/abs/quant-ph/9503013 |
| DOI | 10.1007/BF02101660 |
| Journal | Commun.Math.Phys. 173 (1995) 647-674 |
Abstract
We show that the particle motion in Bohmian mechanics, given by the solution of an ordinary differential equation, exists globally: For a large class of potentials the singularities of the velocity field and infinity will not be reached in finite time for typical initial values. A substantial part of the analysis is based on the probabilistic significance of the quantum flux. We elucidate the connection between the conditions necessary for global existence and the self-adjointness of the Schr\"odinger Hamiltonian.
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"abstract": "We show that the particle motion in Bohmian mechanics, given by the solution\nof an ordinary differential equation, exists globally: For a large class of\npotentials the singularities of the velocity field and infinity will not be\nreached in finite time for typical initial values. A substantial part of the\nanalysis is based on the probabilistic significance of the quantum flux. We\nelucidate the connection between the conditions necessary for global existence\nand the self-adjointness of the Schr\\\"odinger Hamiltonian.",
"arxiv_id": "quant-ph/9503013",
"authors": [
"K. Berndl",
"D. D\u00fcrr",
"S. Goldstein",
"G. Peruzzi",
"N. Zangh\\`\u0131"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/BF02101660",
"journal_ref": "Commun.Math.Phys. 173 (1995) 647-674",
"title": "On the Global Existence of Bohmian Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9503013"
},
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