dorsal/arxiv
View SchemaBohmian Histories and Decoherent Histories
| Authors | James B. Hartle |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209104 |
| URL | https://arxiv.org/abs/quant-ph/0209104 |
| DOI | 10.1103/PhysRevA.69.042111 |
| Journal | Phys.Rev. A69 (2004) 042111 |
Abstract
The predictions of the Bohmian and the decoherent (or consistent) histories formulations of the quantum mechanics of a closed system are compared for histories -- sequences of alternatives at a series of times. For certain kinds of histories, Bohmian mechanics and decoherent histories may both be formulated in the same mathematical framework within which they can be compared. In that framework, Bohmian mechanics and decoherent histories represent a given history by different operators. Their predictions for the probabilities of histories therefore generally differ. However, in an idealized model of measurement, the predictions of Bohmian mechanics and decoherent histories coincide for the probabilities of records of measurement outcomes. The formulations are thus difficult to distinguish experimentally. They may differ in their accounts of the past history of the universe in quantum cosmology.
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"abstract": "The predictions of the Bohmian and the decoherent (or consistent) histories\nformulations of the quantum mechanics of a closed system are compared for\nhistories -- sequences of alternatives at a series of times. For certain kinds\nof histories, Bohmian mechanics and decoherent histories may both be formulated\nin the same mathematical framework within which they can be compared. In that\nframework, Bohmian mechanics and decoherent histories represent a given history\nby different operators. Their predictions for the probabilities of histories\ntherefore generally differ. However, in an idealized model of measurement, the\npredictions of Bohmian mechanics and decoherent histories coincide for the\nprobabilities of records of measurement outcomes. The formulations are thus\ndifficult to distinguish experimentally. They may differ in their accounts of\nthe past history of the universe in quantum cosmology.",
"arxiv_id": "quant-ph/0209104",
"authors": [
"James B. Hartle"
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"doi": "10.1103/PhysRevA.69.042111",
"journal_ref": "Phys.Rev. A69 (2004) 042111",
"title": "Bohmian Histories and Decoherent Histories",
"url": "https://arxiv.org/abs/quant-ph/0209104"
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