dorsal/arxiv
View SchemaBohmian arrival time without trajectories
| Authors | Sabine Kreidl, Gebhard Gruebl, Hans G. Embacher |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305163 |
| URL | https://arxiv.org/abs/quant-ph/0305163 |
| DOI | 10.1088/0305-4470/36/33/309 |
| Journal | J. Phys. A: Math. Gen. 36 (2003) 8851-8865 |
Abstract
The computation of detection probabilities and arrival time distributions within Bohmian mechanics in general needs the explicit knowledge of a relevant sample of trajectories. Here it is shown how for one-dimensional systems and rigid inertial detectors these quantities can be computed without calculating any trajectories. An expression in terms of the wave function and its spatial derivative, both restricted to the boundary of the detector's spacetime volume, is derived for the general case, where the probability current at the detector's boundary may vary its sign.
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"abstract": "The computation of detection probabilities and arrival time distributions\nwithin Bohmian mechanics in general needs the explicit knowledge of a relevant\nsample of trajectories. Here it is shown how for one-dimensional systems and\nrigid inertial detectors these quantities can be computed without calculating\nany trajectories. An expression in terms of the wave function and its spatial\nderivative, both restricted to the boundary of the detector\u0027s spacetime volume,\nis derived for the general case, where the probability current at the\ndetector\u0027s boundary may vary its sign.",
"arxiv_id": "quant-ph/0305163",
"authors": [
"Sabine Kreidl",
"Gebhard Gruebl",
"Hans G. Embacher"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/36/33/309",
"journal_ref": "J. Phys. A: Math. Gen. 36 (2003) 8851-8865",
"title": "Bohmian arrival time without trajectories",
"url": "https://arxiv.org/abs/quant-ph/0305163"
},
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